College algebra word problem

Question

Peanuts sell for $6.00 per pound and cashews sell for $10.00 per pound. A merchant wants to sell a mixture of peanuts and cashews. How many pounds of peanuts and cashews must be used to create 16 pounds of a mixture that will sell for $8.50 per pound? Round answers off to the nearest whole number.

The mixture must contain _____ pounds of peanuts.

The mixture must contain _____ pounds of cashews.

Answer 1

10 pounds of cashews mixed with 6 pounds of peanuts = 16 pounds of their mixture

10x + (16-x)6 = 16(8.5)

10x-6x = 136 -96

4x =40

x=10 pounds of cashews

16-10 = 6 pounds of peanuts