SOLUTION: The owner of a​ health-food store sells dried apples for ​$1.30 per​ quarter-pound, and dried apricots for ​$1.80 per​ quarter-pound. How many pounds of each must he mix

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Question 1187379: The owner of a​ health-food store sells dried apples for ​$1.30 per​ quarter-pound, and dried apricots for ​$1.80 per​ quarter-pound. How many pounds of each must he mix together to get 30 lb of a mixture that sells for ​$1.65 per​ quarter-pound?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Dried Apple, $5.2 per pound
Dried Apricots, $7.2 per pound
The mixture target, $6.6 per pound

The question:
How many pounds of each for 30 pounds to sell at $6.6 per POUND?

If A pounds of the apricot, then 30-A pounds of the apple

7.2A%2B5.2%2830-A%29=6.6%2A30
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7.2A-5.2A%2B5.2%2A30=6.6%2A30
%287.2-5.2%29A=6.6%2A30-5.2%2A30
highlight%28A=30%28%286.6-5.2%29%2F%287.2-5.2%29%29%29----------the computation is simple; and then evaluate 30-A.