SOLUTION: A food store makes a 9-lb mixture of peanuts, cashews, and raisins. Peanuts cost $1.50 per pound, cashews cost $2.00 per pound, and raisins cost $1.00 per pound. The mixture calls

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: A food store makes a 9-lb mixture of peanuts, cashews, and raisins. Peanuts cost $1.50 per pound, cashews cost $2.00 per pound, and raisins cost $1.00 per pound. The mixture calls       Log On


   



Question 159623: A food store makes a 9-lb mixture of peanuts, cashews, and raisins. Peanuts cost $1.50 per pound, cashews cost $2.00 per pound, and raisins cost $1.00 per pound. The mixture calls for twice as much peanuts than cashews. The total cost of the mixture is $13.00. How much of each ingredient did the store use?

I am really confused with this problem.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"a 9-lb mixture of peanuts, cashews, and raisins" __ p+c+r=9

" twice as much peanuts than cashews" __ p=2c

"The total cost of the mixture is $13.00" __ 1.5p+2c+1r=13




substituting __ (2c)+c+r=9 __ 3c+r=9 __ r=9-3c

substituting __ 1.5(2c)+2c+9-3c=13 __ 2c=4 __ c=2

substituting __ p=2(2) __ p=4

substituting __ r=9-3(2) __ r=3