Graph Worksheets | Learning to Work with Charts and Graphs - Free Printable

Here are the answers to the questions on your worksheet, broken down by section.

Part 1: Most Purchased Food

1) Were chicken and pasta chosen more than hotdogs and pizza; or were they equally bought?
* Step 1: Find the percentages for Chicken and Pasta. Chicken is 26% and Pasta is 11%. Add them together: $26 + 11 = 37\%$.
* Step 2: Find the percentages for Hotdogs and Pizza. Hotdogs are 14% and Pizza is 10%. Add them together: $14 + 10 = 24\%$.
* Step 3: Compare the totals. 37% is greater than 24%.
* Answer: Chicken and pasta were chosen more.

2) Combined, which two foods did the greatest number of customers buy?
* Step 1: Look for the two largest slices in the pie chart.
* Step 2: The largest is Chicken (26%) and the second largest is Cheese (24%).
* Step 3: Adding them gives $26 + 24 = 50\%$, which is half the total. No other pair adds up to more than this.
* Answer: Chicken and cheese.

3) Between chicken and pasta which food was more popular; or were they equally popular?
* Step 1: Compare the percentage for Chicken (26%) with the percentage for Pasta (11%).
* Step 2: Since 26 is larger than 11, Chicken is more popular.
* Answer: Chicken.

4) If there were 200 customers that were tracked, how many bought pizza?
* Step 1: Identify the percentage for Pizza, which is 10%.
* Step 2: Calculate 10% of 200. You can do this by multiplying $200 \times 0.10$ or simply moving the decimal place one spot to the left.
* Calculation: $200 \times 0.10 = 20$.
* Answer: 20 customers.

5) What percent of customers bought either apples or cheese?
* Step 1: First, we need to find the missing percentage for Apples. All parts of a pie chart must add up to 100%.
* Step 2: Add the known percentages: $26 \text{ (Chicken)} + 24 \text{ (Cheese)} + 14 \text{ (Hotdogs)} + 10 \text{ (Pizza)} + 11 \text{ (Pasta)} = 85\%$.
* Step 3: Subtract from 100% to find Apples: $100 - 85 = 15\%$. So, Apples are 15%.
* Step 4: Add the percentage for Apples (15%) and Cheese (24%).
* Calculation: $15 + 24 = 39$.
* Answer: 39%.

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Part 2: Time Spent on Homework

1) Between History and Physics which topic took longer; or did they require equal time?
* Step 1: Look at the chart values. History is 22% and Physics is 11%.
* Step 2: Compare the numbers. 22 is greater than 11.
* Answer: History took longer.

2) What percentage of time did Chris spend on the English and Health homework?
* Step 1: We know Health is 10%. We need to find English.
* Step 2: Add up the known subjects: $22 \text{ (History)} + 11 \text{ (Physics)} + 14 \text{ (Art)} + 28 \text{ (Biology)} + 10 \text{ (Health)} = 85\%$.
* Step 3: Subtract from 100% to find English: $100 - 85 = 15\%$.
* Step 4: Add English (15%) and Health (10%) together.
* Calculation: $15 + 10 = 25$.
* Answer: 25%.

3) Was the History and Physics work or the Biology and Art work longer; or were they equally time consuming?
* Step 1: Add History (22%) and Physics (11%). Total = $33\%$.
* Step 2: Add Biology (28%) and Art (14%). Total = $42\%$.
* Step 3: Compare the totals. 42% is larger than 33%.
* Answer: Biology and Art work was longer.

4) If Chris spent 100 minutes on homework, how many minutes were spent on Art?
* Step 1: Find the percentage for Art, which is 14%.
* Step 2: Calculate 14% of 100 minutes. Since the total is exactly 100, the percentage equals the minutes directly.
* Calculation: $100 \times 0.14 = 14$.
* Answer: 14 minutes.

5) Combined, which two topics required the greatest amount of time?
* Step 1: Identify the two subjects with the highest percentages on the chart.
* Step 2: The highest is Biology at 28%. The next highest is History at 22%.
* Answer: 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.