How many blackberries should be used in the mixture?

Question

Colortime bakers wants to make 30 pounds of a berry mix that costs $3 per pound to use in their pancake mix. They are using blueberries that cost $2 per pound and blackberries that cost $3.50 per pound. How many pounds of blackberries should be used in the mixture?

Answer 1

2x+3.5y=90

x = pounds of blueberries

y = pounds of blackberries

90 comes from calculating total pounds times per pound price, 30*3

 

solve for y.

 

3.5y=90-2x

y=(90-2x)/3.5

y=180/7-4/7x