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?
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Thank for sharing!!!
Thank you very much!
This was a nice confidence booster. Alligation method makes it super fast: the ratio of amounts is (1.80-1.50):(1.50-1.20) = 0.30:0.30 = 1:1, so you need equal amounts. Since you have 300 lbs of the cheaper, you need 300 lbs of the expensive one. Answer E.
Alligation is a lifesaver for these!
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.