2013 AMC 10B Problem 2

Attempt Problem 2 of the 2013 AMC 10B 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 2013 AMC 10B solutions, or check the answer key.

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2.

Mr. Green measures his rectangular garden by walking two of the sides and finds that it is 1515 steps by 2020 steps. Each of Mr. Green's steps is 22 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?

600 600

800 800

1000 1000

1200 1200

1400 1400

Answer: A
Concepts:unit conversionarearate
Difficulty rating: 560
Solution:

The dimensions of the garden are 215=30 2\cdot 15 = 30 feet by 220=402\cdot 20=40 feet. Thus, the square footage is 3040=1200.30\cdot 40 = 1200.

Therefore, there are 120012=6001200\cdot \dfrac 12 =600 pounds of potatoes.

Thus, the correct answer is A .

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