Granola costs $2.50 per pound. Assorted nuts cost $5 per pound. How many pounds of granola and nuts are needed to make 7 pounds of trail mix that costs $3 per pound?

Answer 1

2.5(7-x) + 5x = 3(7)=21

17.5 - 2.5x + 5x = 21

2.5x = 21-17.5 = 3.5

x = 3.5/2.5 = 7/5 = 1.4 pounds of $5 assorted nuts

7-x = 5.6 pounds of $2.50 granola

5 is within 2 of 3

2.5 is within 0.5 of 3

2/.05 = 4

you need 4 times as much granola as assorted nuts

5.6/1.4 = 4