6
Answer: DSet 15: Linear Equations (Advanced)
Explanation
A coffee shop mixes two types of beans. Bean A 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.✓ Correct
6
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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