SOLUTION: a candy manufacturer wishes to mix two candies as a sales promotion. One candy sells for $2.00 per pound and he other candy sells for $0.75 per pound. The manufacture wishes to hav

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: a candy manufacturer wishes to mix two candies as a sales promotion. One candy sells for $2.00 per pound and he other candy sells for $0.75 per pound. The manufacture wishes to hav      Log On

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Question 519280: a candy manufacturer wishes to mix two candies as a sales promotion. One candy sells for $2.00 per pound and he other candy sells for $0.75 per pound. The manufacture wishes to have 1000 pounds of the mixture and to sell it for $1.35 per pound. How many pounds of each type of candy should be used in the mixture?
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
Let
Candy Type 1 = x pounds
Candy Type 2 = 1000-x pounds
Cost of Type 1 * Amount of Type 1 + Cost of Type 2 * Amount of Type 2 = Cost of Mixture * Amount of Mixture
2*x + 0.75 * (1000-x) = 1000 * 1.35
2x + 750 - 0.75x = 1350
1.25x = 1350 - 750
1.25x=600
1.25x/1.25=600/1.25
x=480
Candy Type 1 = x = 480 pounds
Candy Type 2 = 1000-x = 1000- 480 = 520 pounds

480 of type 1 and 520 of type 2 should be used in the mixture.