Answer to word problem

Question

Chef Graham needs to make 34 pounds of a cashew almond mixture that sells for $8.50 per pound. If cashews sell for $5.25 per pound and almonds sell for $9.55 per pound, how many pounds of each must he use?

Answer 1

34(8.5) = 5.25x + 9.55(34-x)

289= -4.3x +324.7

x= 35.7/4.3 = 357/43=about 8.3 lbs of $5.25

34-x = 34 - 357/43 =1105/43 = about 25.7 lbs of $8.50

to yield 34 lbs of $8.40

8.5 - 5.25 = 3.25

9.55-8.5 = 1.05

3.25/1.05 = 65/25= close to 1105/357 = 65/21

go with about 8.3 and 25.7 to get the 34 mix