SOLUTION: The manager of a farmer's market has 300 lb of grain that costs $1.80 per pound. How many pounds of meal costing $0.80 per pound should be mixed with the 300 lb of grain to produce

Question 713346: The manager of a farmer's market has 300 lb of grain that costs $1.80 per pound. How many pounds of meal costing $0.80 per pound should be mixed with the 300 lb of grain to produce a mixture that costs $1.40 per pound?
Found 2 solutions by nshah11, josgarithmetic:
Answer by nshah11(47) (Show Source): You can put this solution on YOUR website!
(1.8(300) + 0.8x)/(300 + x) = 1.4
540 + 0.8x = 420 + 1.4x
120 = 0.6x
x = 200 lbs
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
price or percentage, either is just a kind of strength. This is another example of a more general question. Here, "concentration" means money, dollars.

ASSIGN VARIABLES TO ALL QUANTITIES
L, the lower concentration of available material, $0.80/pound
H, the higher concentration of available material, $1.80/pound
T, the target concentration of resulting mixture, $1.40/pound
x, the amount of lower concentrated material to use, unknown
y, the amount of higher concentrated materaial to use, 300 pounds

, only x is the unknown. Solve for x, then plug in the given values.

, substitute the values given into this formula.

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