2012 AMC 8 Problem 1

Attempt Problem 1 of the 2012 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 2012 AMC 8 solutions, or check the answer key.

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

1.

Rachelle uses 3 pounds of meat to make 8 hamburgers for her family. How many pounds of meat does she need to make 24 hamburgers for a neighborhood picnic?

6 6

623 6\dfrac23

712 7\dfrac12

8 8

9 9

Answer: E
Concepts:ratio and proportion
Difficulty rating: 370
Video solution:
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Written solution:

If we have 88 hamburgers, we have 13\dfrac{1}{3} of the 2424 hamburgers. This means we have 13\dfrac{1}{3} of the meat when we have 33 pounds. The total amount of meat is therefore 1133=33=9.\dfrac{1}{\dfrac{1}{3}} \cdot 3 = 3\cdot3 = 9.

Thus, the answer is E .

Full Exam

Problem 1 in Other Years

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