SOLUTION: 40 liters of pure syrup costs $18. per liter, mixed w/ imitation syrup that cost $8.50 per liter. How much imitation is needed to make a mixture costing $11.00 per liter?

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Question 167573: 40 liters of pure syrup costs $18. per liter, mixed w/ imitation syrup that cost $8.50 per liter. How much imitation is needed to make a mixture costing $11.00 per liter?
Found 2 solutions by nerdybill, checkley77:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
40 liters of pure syrup costs $18. per liter, mixed w/ imitation syrup that cost $8.50 per liter. How much imitation is needed to make a mixture costing $11.00 per liter?
.
Let x = amount of imitation syrup added
.
18(40) + 8.50x = 11(40+x)
720 + 8.50x = 440 + 11x
280 + 8.50x = 11x
280 = 2.50x
112 liters = x

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
40*18+8.50x=11(40+x)
720+8.50x=440+11x
8.5x-11x=440-720
-2.50x=-280
x=-280/-2.50
x=112 liters of $8.50 imitation syrup is used.
Proof:
40*18+8.50*112=11(40+112)
720+952=11*152
1,672=1,672