Question

A grocer mixes trail mix that costs $3.00 per pound with trail mix that costs $1.50 per

pound. He makes 15 lb of trail mix that costs $2.50 per pound. How much of each

trail mix did the

grocer

use?

Answer 1

• $3.00/lb: 10 lb
• $1.50/lb: 5 lb

Explanation:

You want to know how much of each kind of trail mix a grocer uses to make 15 lb of mix costing $2.50 per pound from mixes costing $3.00 and $1.50 per pound.

Setup

Let x represent the number of pounds of $3.00 mix. Then (15 -x) is the number of pounds of $1.50 mix. The total cost of the 15 pounds of mix is ...

3.00x +1.50(15 -x) = 2.50(15)

Solution

1.50x +22.50 = 37.50 . . . . . . . . . simplify

1.50x = 15.00 . . . . . . . . . . subtract 22.50

x = 10 . . . . . . . . . . . . . divide by 1.50

The grocer uses 10 lb of $3.00 mix and 5 lb of $1.50 mix.

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