Free Practice Question
PS · Problem Solving
sub-505
Mixture
A landscaping company is preparing a new soil mixture using 300 pounds of soil priced at $1.20 per pound and an unknown quantity of soil that costs $1.80 per pound. How many pounds of the $1.80 per pound soil must be added to achieve a final blend price of $1.50 per pound?
Answer Choices
Correct answer marked belowA
100
B
150
C
200
D
250
300
Correct
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Explanation
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Official Explanation
Official
To find the average price, we use the formula: Average Price = \frac{P_1Q_1 + P_2Q_2}{Q_1 + Q_2}. Let x represent the pounds of the $1.80 soil. We set up the equation: 1.50 =…
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Comments
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V
VISHWAJEETJan 18, 2024
Thank for sharing!!!
N
NguyenDec 1, 2024
Thank you very much!
What this question tests
What it tests
Your ability to reason about weighted averages and the composition of mixtures.
Common trap
Averaging the percentages of two solutions without weighting by their volumes.
Details
Difficulty
sub-505
Type
PS
Category