2013 AMC 12B Problem 2

Below is the professionally curated solution for Problem 2 of the 2013 AMC 12B, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2013 AMC 12B solutions, or check the answer key.

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Concepts:unit conversion area rate

Difficulty rating: 1020

Mr. Green measures his rectangular garden by walking two of the sides and finds that it is $15$ steps by $20$ steps. Each of Mr. Green's steps is $2$ feet long. Mr. Green expects a half a pound of potatoes per square foot from his garden. How many pounds of potatoes does Mr. Green expect from his garden?

$600$

$800$

$1000$

$1200$

$1400$

Solution:

The garden is $2\cdot 15 = 30$ feet by $2\cdot 20 = 40$ feet, an area of $1200$ square feet. At half a pound per square foot, Mr. Green expects $\tfrac12\cdot 1200 = 600$ pounds. Thus, the correct answer is A.

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