Question

You have one type of nut that sells for $6.50/lb and another type of nut that sells for $8.60/1b. You

would like to have 14.7 lbs of a nut mixture that sells for $7.10/lb. How much of each nut will you
need to obtain the desired mixture?
You will need
____lbs of the cheaper nut
and
____lbs of the expensive nut.

Answer 1

You buy 10.5 pounds of the $6.50/lb nuts and 4.2 pounds of the $8.60/lb nuts.

Explanation:

Let x be the number of pounds of the cheaper nut.

6.5x + 8.6(14.7-x) = 7.1*14.7

6.5x + 126.42 - 8.6x = 104.37

2.1x = 22.05

x = 10.5