2013 AMC 10B Problem 2

Question

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

Answer: A

Concepts:unit conversion area rate

Difficulty rating: 560

Small hint:

Convert each garden side from steps to feet

Big hint:

Multiply area by half a pound per square foot

Solution:

The dimensions of the garden are

2\cdot 15 = 30

feet by

2\cdot 20=40

feet. Thus, the square footage is

30\cdot 40 = 1200.

Therefore, there are

1200\cdot \dfrac 12 =600

pounds of potatoes.

Thus, the correct answer is A .