SOLUTION: Sarah mixed craisins and chocolate chips together for a snack. -Sarah bought 8 lbs of craisins for a total of $6.80. -The cost per pound of chocolate chips is 30% more than th

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Sarah mixed craisins and chocolate chips together for a snack. -Sarah bought 8 lbs of craisins for a total of $6.80. -The cost per pound of chocolate chips is 30% more than th      Log On


   

Question 934290: Sarah mixed craisins and chocolate chips together for a snack.
-Sarah bought 8 lbs of craisins for a total of $6.80.
-The cost per pound of chocolate chips is 30% more than the cost per pound of craisins.
-Sarah bought enough chocolate chips that, when she mixed them with the craisins, the mixture had a value of $0.99 per pound.
Approximately what percent of the mixture, by weight, was chocolate chips?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This is a mixture problem in which you know the quantity of one of the ingredients but not the other ingredient.

The price for craisins, 6.80%2F8.
The price for chocolate chips, 6.80%2F8%2B%280.30%296.8%2F8=1.105.

Let c be the quantity of chocolate chips; the percent in the mixture can be computed later.

Account for price.
highlight%28%286.8%2B1.105%2Ac%29%2F%288%2Bc%29=0.99%29.
The numerator is the COST of the mixture and the denominator is the POUNDS of the mixture; and c is how many POUNDS of chocolate chips. Now you can find the percentage.