# The Nut Barn needs 10 pounds of mixed peanuts and cashews to sell for $8.50 per pound. Cashews alone sell for$10 per pound and peanuts for $7.50 per pound. What is the amount of cashews that can be in the mixture and hold the price to$8.50 per pound?

Aug 31, 2015

Mixing peanuts ans cashews

Ans: 4 lbs of cashews, and 6 lbs of peanuts.

#### Explanation:

Call x the number of pounds of cashews and y the number of pounds of peanuts.
We have x + y = 10 lbs (1).
The x-y mixing costs Nut Barn:
10x + 7.5y = $85. (2) Solve the 2 equations (1) and (2) to find the 2 unknowns x and y. (1) --> x = 10 - y. Replace this value of x into (2) (2) --> 10(10 - y) + 7.5y = 85 100 - 10y + 7.5y = 85. -2.5y = -15 --> $y = \frac{15}{2.5} = 6$lbs--> $x = 10 - 6 = 4\$ lbs