A grocery store makes a 20-pound mixture of almonds and cashew nuts. The store charges $4 per pound for almonds and $5.50 per pound for cashews. The total value of the mixture is $92. Write a system to find how many pounds of each type of nut are in the mixture.

Question

A grocery store makes a 20-pound mixture of almonds  and cashew nuts.  The store charges $4 per pound for almonds and $5.50 per pound for cashews.  The total value of the mixture is $92.  Write a system to find how many pounds of each type of nut are in the mixture.

Damon · Answer

4 a + 5.5 c = 92 a + c = 20 4 a + 5.5 c = 92 4 a + 4 c = 80 ------------------subtract 0 + 1.5 c = 12 c = 8 etc