2007 AMC 8 Problem 2

Attempt Problem 2 of the 2007 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2007 AMC 8 solutions, or check the answer key.

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

2.

650650 students were surveyed about their pasta preferences. The choices were lasagna, manicotti, ravioli and spaghetti. The results of the survey are displayed in the bar graph. What is the ratio of the number of students who preferred spaghetti to the number of students who preferred manicotti?
25\dfrac{2}{5}
12\dfrac{1}{2}
54\dfrac{5}{4}
53\dfrac{5}{3}
52\dfrac{5}{2}
Answer: E
Concepts:data and graph interpretationratio and proportion
Small hint:
Read the spaghetti and manicotti bar heights from the graph.
Big hint:
The requested ratio is spaghetti to manicotti, in that order.
Solution:
There are 250250 students who preferred spaghetti and 100100 that preferred manicotti.
The ratio is therefore 250100=52. \dfrac{250}{100} = \dfrac{5}{2}.
Thus, E is the correct answer.
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