2001 AMC 8 Problem 13

Below is the professionally curated solution for Problem 13 of the 2001 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2001 AMC 8 solutions, or check the answer key.

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Concepts:data and graph interpretationfraction

Difficulty rating: 1190

13.

Of the 3636 students in Richelle's class, 1212 prefer chocolate pie, 88 prefer apple, and 66 prefer blueberry. Half of the remaining students prefer cherry pie and half prefer lemon. For Richelle's pie graph showing this data, how many degrees should she use for cherry pie?

1010

2020

3030

5050

7272

Solution:

The number of students that prefer cherry or lemon pie is 361286=10. 36 - 12 - 8 - 6 = 10. Half of these like cherry pie, which is 10÷2=5.10 \div 2 = 5.

The number of degrees for cherry pie would then be 360536=510=50. 360^{\circ} \cdot \dfrac{5}{36} = 5 \cdot 10^{\circ} = 50 ^{\circ}.

Thus, D is the correct answer.

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