SOLUTION: You decide to make 10 lb of a peanut-and raisin mixture to sell at the class snack sale. You can buy peanuts for $2. 50 per pound and raisins for $1. 75 per pound. If you want to

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You decide to make 10 lb of a peanut-and raisin mixture to sell at the class snack sale. You can buy peanuts for $2. 50 per pound and raisins for $1. 75 per pound. If you want to      Log On


   

Question 958371: You decide to make 10 lb of a peanut-and raisin mixture to sell at the class snack sale. You can buy peanuts for $2. 50 per pound and raisins for $1. 75 per pound. If you want to sell the mixture for $2 per pound, how many pounds of peanuts and how many pounds of raisin should you use?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The cost of the mixture and the cost of the separate ingredients to be equal, this cost is 10%2Apounds%2A%282%2Adollars%2Fpound%29=20%2Adollars.

Let p be pounds of peanuts and then 10-p be pounds of raisins.
2.5p%2B1.75%2810-p%29=20
10p%2B7%2810-p%29=80, multiplied members by 4,
10p%2B70-7p=80
3p%2B70=80
3p=10
highlight%28p=10%2F3%29, and from that, highlight%28%2810-p%29=6%262%2F3%29