5

Set 14: Linear Equations

Explanation

Answer: D

A coffee shop mixes two types of beans. Bean A costs 10/lbandBeanBcosts10 /lb and Bean B costs 15 /lb. If they make a 10lb mix costing $12 /lb, how many lbs of Bean A were used?

How many pounds of Bean A?

A.

4

B.

5

C.

7

D.

6

✓ Correct

Detailed Explanation

Choice D is correct. Let a = Bean A. Then 10-a = Bean B. 10 a + 15(10-a) = 12(10). 10 a + 150 - 15 a = 120. -5 a = -30. a = 6.

Key Steps:

The correct answer is 6

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.

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