SOLUTION: How many pounds of candy worth $8 per pound must be mixed with 4lbs of candy worth $10.50 per pound to create a mixture that costs $9 per pound?

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Question 375838: How many pounds of candy worth $8 per pound must be mixed with 4lbs of candy worth $10.50 per pound to create a mixture that costs $9 per pound?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x represent the pounds of $8 per pound candy

Mixing the candy to create a mixture that cost 9$ per pound

8x + 10.50*4lb = 9*(x + 4lb)

solving for x

8x + 10.50*4lb = 9*x + 9*4lb

1.50*4lb = x

6lb = x, the amount of the pounds of $8 per pound candy

CHECKING our Answer

$8/lb*6lb + $10.50/lb*4lb = $48 + $42 = $90 = 9/lb*10lb