A fruit company makes a snack containing dried apples and raisins dried apples cost $.38 per ounce and raisins cost $.28 per ounce to make a 10 ounce snack that will sell for $.34 an ounce how much of each dried fruit will be used

Respuesta :

Let weight of dried Apples = A oz.
then weight of raisins = 10-A oz.

total cost of 10 oz. of mix
0.38A+0.28(10-A)=10*0.34  =>
Isolate and solve for A
0.10 A=3.40-2.80=0.60
A=0.60/0.10 = 6 oz
hence
weight of dried apples = 6 oz, 
weight of raisins = (10-6)=4 oz.