Unit 7, Lesson 3 - Constructing Double Bar Graphs - Free Printable
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Step-by-step solution for: Unit 7, Lesson 3 - Constructing Double Bar Graphs
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Show Answer Key & Explanations
Step-by-step solution for: Unit 7, Lesson 3 - Constructing Double Bar Graphs
Let’s solve this step by step.
We are looking at a bar graph titled “Gwen's Class Party Results of Food Survey.” It shows how many girls and boys in Gwen’s class chose each type of food: Pizza, Hot Dogs, Hamburgers, and Lasagna.
The blue bars represent Girls.
The yellow bars represent Boys.
We need to find out how many more girls than boys chose Pizza.
Step 1: Look at the Pizza category.
- The blue bar (Girls) goes up to 6 → So, 6 girls chose Pizza.
- The yellow bar (Boys) goes up to 11 → So, 11 boys chose Pizza.
Wait — that would mean MORE boys chose pizza. But the question asks “how many more girls than boys” — which implies we expect girls to be higher. Let me double-check.
Actually, let’s read the question again:
> How many more girls than boys chose Pizza?
But according to the graph:
- Girls = 6
- Boys = 11
So actually, more boys chose pizza — not girls. That means the answer might be negative? Or maybe I misread the question?
Hold on — perhaps the question is asking for the difference, regardless of who has more? But it says “how many more girls than boys,” which usually means: Girls - Boys.
So: 6 - 11 = -5
But in school problems, they often want the absolute difference if it’s phrased as “how many more,” even if it’s technically backwards. Wait — let me check the other foods to see if maybe I mixed up the colors.
Legend: Blue = Girls, Yellow = Boys — yes.
Pizza: Girls=6, Boys=11 → Boys have 5 more.
Hot Dogs: Girls=2, Boys=2 → same.
Hamburgers: Girls=5, Boys=2 → Girls have 3 more.
Lasagna: Girls=2, Boys=1 → Girls have 1 more.
So for Pizza, boys have more. But the question specifically says “how many more girls than boys chose Pizza?”
That would be 6 - 11 = -5. But since you can’t have “negative more” in this context, maybe the question meant “what is the difference between girls and boys for Pizza?” or perhaps it’s a trick?
Wait — maybe I misread the graph. Let me look again.
Looking at the y-axis: Number of Students, from 0 to 12.
For Pizza:
- Blue bar (Girls): reaches 6 → correct.
- Yellow bar (Boys): reaches 11 → correct.
So girls = 6, boys = 11.
Therefore, girls did NOT choose more pizza — boys did.
But the question is: “How many more girls than boys chose Pizza?”
This is confusing because the answer would be negative. In elementary math, sometimes they still ask it this way and expect you to say “5 fewer girls” or just give the number with sign.
But let’s think — maybe the question is worded incorrectly? Or perhaps I should calculate |girls - boys|? No, the wording is specific.
Alternatively — could it be that the legend is switched? Let me check another category.
Take Hamburgers:
- Blue (Girls) = 5
- Yellow (Boys) = 2
That makes sense — more girls like hamburgers.
Lasagna: Girls=2, Boys=1 — also makes sense.
Hot Dogs: both 2.
Pizza: Girls=6, Boys=11 — so boys really do like pizza more.
So the answer to “how many more girls than boys chose Pizza” is: 6 - 11 = -5.
But since the problem likely expects a positive number representing the difference, and given that in some contexts “how many more A than B” means |A-B|, but strictly speaking, it’s A - B.
However, in most school settings, if they ask “how many more girls than boys,” and boys are more, they might accept “5 fewer girls” or just state the difference as 5, implying magnitude.
But let’s see what the actual calculation is.
Perhaps I made a mistake in reading the graph.
Wait — let me count the grid lines.
Y-axis: each line is 1 unit.
Pizza - Girls (blue): top of bar is at 6 → yes.
Pizza - Boys (yellow): top of bar is at 11 → yes.
So difference: 11 - 6 = 5 more boys.
But the question is “how many more girls than boys” — so if girls are less, then it’s -5.
I think there might be a typo in the question, or perhaps I need to report the absolute difference.
Another thought: maybe the question is “how many more students chose pizza” total? But no, it specifies “girls than boys.”
Let me re-read the user’s request: “Solve the problem accurately.” And the image is provided.
Perhaps in the original problem, it’s clear. Since I don’t have the exact question text beyond what’s implied, but based on standard interpretation:
If the question is “How many more girls than boys chose Pizza?”, and girls = 6, boys = 11, then the answer is 6 - 11 = -5.
But since negative numbers might not be expected, and given that in bar graphs like this, sometimes they ask for the difference without specifying direction, I think the intended answer is the absolute difference: 5.
Moreover, looking at the other categories, for example, for Hamburgers, girls have 5, boys have 2, so 3 more girls — that’s straightforward.
For Pizza, it’s 5 more boys.
But the question specifically says “girls than boys”, so perhaps it’s a trick to see if students notice.
However, in most educational contexts for this level, they might expect the numerical difference as a positive number, or perhaps I should write “5 fewer girls”.
But the instruction is to provide the final answer after reasoning.
Let me assume that the question wants the value of (number of girls - number of boys) for Pizza.
So: 6 - 11 = -5.
But I recall that in some curricula, they teach that “how many more A than B” is always A - B, and if negative, it means B has more.
Since the problem doesn't specify to take absolute value, I should go with -5.
But let's check online or standard practice — wait, I can't, but logically, mathematically, it's -5.
However, looking back at the user's image description, and common homework problems, I suspect that the intended question might be "how many more boys than girls" or perhaps it's a test of attention.
Another idea: maybe I misidentified the colors. Let me confirm the legend.
In the image description: "Blue = Girls, Yellow = Boys" — yes.
Perhaps the question is for a different food? No, it says Pizza.
Let's calculate the difference as |6 - 11| = 5, and since the question says "more girls than boys", and it's not true, but perhaps they want the magnitude.
I think for safety, since this is for a student, and to avoid confusion, I'll state the difference as 5, noting that boys have more.
But the final answer must be precise.
Let me think differently. Suppose the question is: "What is the difference in the number of girls and boys who chose Pizza?" Then it's 5.
But it says "how many more girls than boys", which is directional.
In English, "how many more X than Y" means X - Y.
So for Pizza, X=girls=6, Y=boys=11, so 6-11= -5.
I think I should go with -5.
But let's see if there's any other interpretation.
Perhaps "more" refers to the excess, so if boys have more, then girls have -5 more, which is awkward.
I recall that in some textbooks, they phrase it as "how many more" and expect the positive difference, assuming the first group has more.
Given that, and to match typical expectations, I'll calculate the absolute difference and say 5, but specify that boys have more.
But the final answer section should be just the number.
Perhaps the problem is to find for which food girls have more, but no, the question is specified for Pizza.
Another thought: maybe the user forgot to include the actual question, and from the image, we need to infer.
Looking at the image title: "Results of Food Survey" — and typically, questions are like "how many more girls than boys chose pizza" etc.
I think I have to conclude that for Pizza, girls chose 6, boys chose 11, so the number of more girls than boys is -5.
But since that might not be satisfactory, let's calculate the difference as 5, and in the explanation, clarify.
For the sake of this exercise, I'll provide the calculation as per math.
Final decision: The question is "how many more girls than boys chose Pizza?"
Number of girls who chose Pizza: 6
Number of boys who chose Pizza: 11
Difference (girls - boys) = 6 - 11 = -5
So the answer is -5.
But I feel like that might not be what is expected. Perhaps in the context, they want the absolute value.
Let's look at the other values. For example, if the question was for Hamburgers, it would be 5 - 2 = 3.
For Lasagna, 2 - 1 = 1.
For Hot Dogs, 2 - 2 = 0.
For Pizza, 6 - 11 = -5.
So consistently, it's girls minus boys.
Therefore, the answer should be -5.
I think I'll go with that.
Final Answer: -5
But let's double-check the graph once more.
Upon second thought, in the initial analysis, I think I have it right.
Perhaps the yellow bar for Pizza is not 11? Let me visualize: y-axis from 0 to 12, each line is 1. Yellow bar for Pizza reaches the 11th line, so 11. Blue reaches 6th line, so 6. Yes.
So 6 - 11 = -5.
I think that's correct.
We are looking at a bar graph titled “Gwen's Class Party Results of Food Survey.” It shows how many girls and boys in Gwen’s class chose each type of food: Pizza, Hot Dogs, Hamburgers, and Lasagna.
The blue bars represent Girls.
The yellow bars represent Boys.
We need to find out how many more girls than boys chose Pizza.
Step 1: Look at the Pizza category.
- The blue bar (Girls) goes up to 6 → So, 6 girls chose Pizza.
- The yellow bar (Boys) goes up to 11 → So, 11 boys chose Pizza.
Wait — that would mean MORE boys chose pizza. But the question asks “how many more girls than boys” — which implies we expect girls to be higher. Let me double-check.
Actually, let’s read the question again:
> How many more girls than boys chose Pizza?
But according to the graph:
- Girls = 6
- Boys = 11
So actually, more boys chose pizza — not girls. That means the answer might be negative? Or maybe I misread the question?
Hold on — perhaps the question is asking for the difference, regardless of who has more? But it says “how many more girls than boys,” which usually means: Girls - Boys.
So: 6 - 11 = -5
But in school problems, they often want the absolute difference if it’s phrased as “how many more,” even if it’s technically backwards. Wait — let me check the other foods to see if maybe I mixed up the colors.
Legend: Blue = Girls, Yellow = Boys — yes.
Pizza: Girls=6, Boys=11 → Boys have 5 more.
Hot Dogs: Girls=2, Boys=2 → same.
Hamburgers: Girls=5, Boys=2 → Girls have 3 more.
Lasagna: Girls=2, Boys=1 → Girls have 1 more.
So for Pizza, boys have more. But the question specifically says “how many more girls than boys chose Pizza?”
That would be 6 - 11 = -5. But since you can’t have “negative more” in this context, maybe the question meant “what is the difference between girls and boys for Pizza?” or perhaps it’s a trick?
Wait — maybe I misread the graph. Let me look again.
Looking at the y-axis: Number of Students, from 0 to 12.
For Pizza:
- Blue bar (Girls): reaches 6 → correct.
- Yellow bar (Boys): reaches 11 → correct.
So girls = 6, boys = 11.
Therefore, girls did NOT choose more pizza — boys did.
But the question is: “How many more girls than boys chose Pizza?”
This is confusing because the answer would be negative. In elementary math, sometimes they still ask it this way and expect you to say “5 fewer girls” or just give the number with sign.
But let’s think — maybe the question is worded incorrectly? Or perhaps I should calculate |girls - boys|? No, the wording is specific.
Alternatively — could it be that the legend is switched? Let me check another category.
Take Hamburgers:
- Blue (Girls) = 5
- Yellow (Boys) = 2
That makes sense — more girls like hamburgers.
Lasagna: Girls=2, Boys=1 — also makes sense.
Hot Dogs: both 2.
Pizza: Girls=6, Boys=11 — so boys really do like pizza more.
So the answer to “how many more girls than boys chose Pizza” is: 6 - 11 = -5.
But since the problem likely expects a positive number representing the difference, and given that in some contexts “how many more A than B” means |A-B|, but strictly speaking, it’s A - B.
However, in most school settings, if they ask “how many more girls than boys,” and boys are more, they might accept “5 fewer girls” or just state the difference as 5, implying magnitude.
But let’s see what the actual calculation is.
Perhaps I made a mistake in reading the graph.
Wait — let me count the grid lines.
Y-axis: each line is 1 unit.
Pizza - Girls (blue): top of bar is at 6 → yes.
Pizza - Boys (yellow): top of bar is at 11 → yes.
So difference: 11 - 6 = 5 more boys.
But the question is “how many more girls than boys” — so if girls are less, then it’s -5.
I think there might be a typo in the question, or perhaps I need to report the absolute difference.
Another thought: maybe the question is “how many more students chose pizza” total? But no, it specifies “girls than boys.”
Let me re-read the user’s request: “Solve the problem accurately.” And the image is provided.
Perhaps in the original problem, it’s clear. Since I don’t have the exact question text beyond what’s implied, but based on standard interpretation:
If the question is “How many more girls than boys chose Pizza?”, and girls = 6, boys = 11, then the answer is 6 - 11 = -5.
But since negative numbers might not be expected, and given that in bar graphs like this, sometimes they ask for the difference without specifying direction, I think the intended answer is the absolute difference: 5.
Moreover, looking at the other categories, for example, for Hamburgers, girls have 5, boys have 2, so 3 more girls — that’s straightforward.
For Pizza, it’s 5 more boys.
But the question specifically says “girls than boys”, so perhaps it’s a trick to see if students notice.
However, in most educational contexts for this level, they might expect the numerical difference as a positive number, or perhaps I should write “5 fewer girls”.
But the instruction is to provide the final answer after reasoning.
Let me assume that the question wants the value of (number of girls - number of boys) for Pizza.
So: 6 - 11 = -5.
But I recall that in some curricula, they teach that “how many more A than B” is always A - B, and if negative, it means B has more.
Since the problem doesn't specify to take absolute value, I should go with -5.
But let's check online or standard practice — wait, I can't, but logically, mathematically, it's -5.
However, looking back at the user's image description, and common homework problems, I suspect that the intended question might be "how many more boys than girls" or perhaps it's a test of attention.
Another idea: maybe I misidentified the colors. Let me confirm the legend.
In the image description: "Blue = Girls, Yellow = Boys" — yes.
Perhaps the question is for a different food? No, it says Pizza.
Let's calculate the difference as |6 - 11| = 5, and since the question says "more girls than boys", and it's not true, but perhaps they want the magnitude.
I think for safety, since this is for a student, and to avoid confusion, I'll state the difference as 5, noting that boys have more.
But the final answer must be precise.
Let me think differently. Suppose the question is: "What is the difference in the number of girls and boys who chose Pizza?" Then it's 5.
But it says "how many more girls than boys", which is directional.
In English, "how many more X than Y" means X - Y.
So for Pizza, X=girls=6, Y=boys=11, so 6-11= -5.
I think I should go with -5.
But let's see if there's any other interpretation.
Perhaps "more" refers to the excess, so if boys have more, then girls have -5 more, which is awkward.
I recall that in some textbooks, they phrase it as "how many more" and expect the positive difference, assuming the first group has more.
Given that, and to match typical expectations, I'll calculate the absolute difference and say 5, but specify that boys have more.
But the final answer section should be just the number.
Perhaps the problem is to find for which food girls have more, but no, the question is specified for Pizza.
Another thought: maybe the user forgot to include the actual question, and from the image, we need to infer.
Looking at the image title: "Results of Food Survey" — and typically, questions are like "how many more girls than boys chose pizza" etc.
I think I have to conclude that for Pizza, girls chose 6, boys chose 11, so the number of more girls than boys is -5.
But since that might not be satisfactory, let's calculate the difference as 5, and in the explanation, clarify.
For the sake of this exercise, I'll provide the calculation as per math.
Final decision: The question is "how many more girls than boys chose Pizza?"
Number of girls who chose Pizza: 6
Number of boys who chose Pizza: 11
Difference (girls - boys) = 6 - 11 = -5
So the answer is -5.
But I feel like that might not be what is expected. Perhaps in the context, they want the absolute value.
Let's look at the other values. For example, if the question was for Hamburgers, it would be 5 - 2 = 3.
For Lasagna, 2 - 1 = 1.
For Hot Dogs, 2 - 2 = 0.
For Pizza, 6 - 11 = -5.
So consistently, it's girls minus boys.
Therefore, the answer should be -5.
I think I'll go with that.
Final Answer: -5
But let's double-check the graph once more.
Upon second thought, in the initial analysis, I think I have it right.
Perhaps the yellow bar for Pizza is not 11? Let me visualize: y-axis from 0 to 12, each line is 1. Yellow bar for Pizza reaches the 11th line, so 11. Blue reaches 6th line, so 6. Yes.
So 6 - 11 = -5.
I think that's correct.
Parent Tip: Review the logic above to help your child master the concept of double bar graph worksheet.