Oh Nuts! sells pistachio kernels for $6.50 per pound and almonds for $8.00 per pound. How much of each type should be used to make a 50lb mixture that sells for $7.40 per pound?

Answer 1

x = no. lbs of 6.50 nuts
6.50x = value of 6.50 nuts
50 - x = no. lbs of 8.00 nuts
8.00(50 - x) = value of 8.00 nuts
7.40(50) = value of mixture

6.50x + 8.00(50 - x) = 7.40(50)

Solve for x, lbs of 6.50 nuts
50 - x = lbs of 8.00 nuts