Here are the step-by-step solutions for the problems on the worksheet.
Part 1: Most Purchased Food
Data from the graph:
* Cheese: 24%
* Chicken: 26%
* Hotdogs: 14%
* Apples: (Not labeled with a number)
* Pizza: 10%
* Pasta: 11%
1) Were chicken and pasta chosen more than hotdogs and pizza; or were they equally bought?
* First, add Chicken (26%) and Pasta (11%): $26 + 11 = 37\%$
* Next, add Hotdogs (14%) and Pizza (10%): $14 + 10 = 24\%$
* Compare the totals: 37% is greater than 24%.
*
Result: Chicken and pasta were chosen more.
2) Combined, which two foods did the greatest number of customers buy?
* Look for the two largest percentages on the chart.
* The highest is Chicken at 26%.
* The second highest is Cheese at 24%.
*
Result: Chicken and cheese.
3) Between chicken and pasta which food was more popular; or were they equally popular?
* Chicken is 26%.
* Pasta is 11%.
* Since 26 is bigger than 11, Chicken is more popular.
*
Result: Chicken.
4) If there were 200 customers that were tracked, how many bought pizza?
* Pizza represents 10% of the customers.
* To find 10% of 200, multiply: $200 \times 0.10$.
* Calculation: $200 \times 0.10 = 20$.
*
Result: 20 customers.
5) What percent of customers bought either apples or cheese?
* First, we need to find the missing percentage for Apples. All parts of a pie chart must add up to 100%.
* Add the known percentages: $24 (\text{Cheese}) + 26 (\text{Chicken}) + 14 (\text{Hotdogs}) + 10 (\text{Pizza}) + 11 (\text{Pasta}) = 85\%$.
* Subtract from 100% to find Apples: $100 - 85 = 15\%$. So, Apples = 15%.
* Now, add Apples (15%) and Cheese (24%): $15 + 24 = 39\%$.
*
Result: 39%.
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Part 2: Time Spent on Homework
Data from the graph:
* Biology: 28%
* Art: 14%
* Physics: 11%
* History: 22%
* English: (Not labeled)
* Health: 10%
1) Between History and Physics which topic took longer; or did they require equal time?
* History is 22%.
* Physics is 11%.
* 22% is larger than 11%.
*
Result: History took longer.
2) What percentage of time did Chris spend on the English and Health homework?
* First, find the missing percentage for English.
* Add the known values: $28 (\text{Bio}) + 14 (\text{Art}) + 11 (\text{Phys}) + 22 (\text{Hist}) + 10 (\text{Health}) = 85\%$.
* Subtract from 100% to find English: $100 - 85 = 15\%$. So, English = 15%.
* Add English (15%) and Health (10%): $15 + 10 = 25\%$.
*
Result: 25%.
3) Was the History and Physics work or the Biology and Art work longer; or were they equally time consuming?
* Calculate History (22%) + Physics (11%): $22 + 11 = 33\%$.
* Calculate Biology (28%) + Art (14%): $28 + 14 = 42\%$.
* Compare the totals: 42% is greater than 33%.
*
Result: Biology and Art work was longer.
4) If Chris spent 100 minutes on homework, how many minutes were spent on Art?
* Art represents 14% of the total time.
* Total time is 100 minutes.
* Calculate 14% of 100: $100 \times 0.14 = 14$.
*
Result: 14 minutes.
5) Combined, which two topics required the greatest amount of time?
* Identify the two largest percentages on the chart.
* Largest: Biology at 28%.
* Second Largest: History at 22%.
*
Result: Biology and History.
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Final Answer:
Most Purchased Food Section:
1) Chicken and pasta were chosen more.
2) Chicken and cheese.
3) Chicken.
4) 20
5) 39%
Time Spent on Homework Section:
1) History took longer.
2) 25%
3) Biology and Art work was longer.
4) 14 minutes
5) Biology and History.
Parent Tip: Review the logic above to help your child master the concept of understanding graphs worksheet.