2017 AMC 8 Problem 2

Attempt Problem 2 of the 2017 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2017 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

2.

Alicia, Brenda, and Colby were the candidates in a recent election for student president. The pie chart below shows how the votes were distributed among the three candidates. If Brenda received 3636 votes, then how many votes were cast all together?
70 70
84 84
100 100
106 106
120 120
Answer: E
Concepts:percentagedata and graph interpretation
Small hint:
Brenda’s slice is 30%30\% of the pie chart.
Big hint:
If 30%30\% corresponds to 3636 votes, find 10%10\% first.
Video solution:
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Written solution:
If 3636 votes is 30%30\% of the total votes, then 10%10\% of the total votes is 1212 votes. The number of total votes would then be 10⋅12=120.10 \cdot 12 = 120.
Thus, E is the correct answer.
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