SOLUTION: A candy store sells chocolate-covered almonds for $6.50 a pound and chocolate-covered peanuts for $4.00 per pound. The manager decides to make a bridge mix that combines the almond

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A candy store sells chocolate-covered almonds for $6.50 a pound and chocolate-covered peanuts for $4.00 per pound. The manager decides to make a bridge mix that combines the almond      Log On


   

Question 1073448: A candy store sells chocolate-covered almonds for $6.50 a pound and chocolate-covered peanuts for $4.00 per pound. The manager decides to make a bridge mix that combines the almonds with the peanuts. She wants the bridge mix to sell for $6.00 per pound, and there should be no loss in revenue from selling the bridge mix versus the almonds and peanuts alone. How many pounds of chocolate-covered almonds and chocolate-covered peanuts are required to create 50 pounds of this bridge mix?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Just for the cost of the mixture:

x, how many pounds chocolate covered almonds
50-x, how much peanuts

%286.5x%2B4%2850-x%29%29=6%2A50


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ADDING JUST A LITTLE MORE DETAIL
The same assigning of variable x as done above.
Comparison of PRICE for the mixture and the two parts:
%28CostOfItems%29%2F%28QuantityOfItems%29=TargetMixturePrice

Cost for the mixture: %286.5x%2B4%2850-x%29%29%2Adollars
Total mixture quantity: 50%2Apounds

The PRICES must be equal.
highlight_green%28%286.5x%2B4%2850-x%29%29%2F50=6%29
Solve for x and evaluate 50-x.