Question

A store owner wants to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $18.90 per pound should be mixed with 22 pounds of trail mix costing $3.30 per pound to create a mixture worth $8.50 per pound.

The owner needs to mix _________ pounds of chocolate (round to the nearest whole pound - NO COMMAS).

Answer 1

The owner needs to mix 11 pounds of chocolate

Explanation:

Let

x ----> the number of pounds of chocolate needed

we know that

The linear equation that represent this problem is equal to

`18.90x+3.30(22)=8.50(x+22)`

solve for x

`18.90x+72.6=8.50x+187`

`18.90x-8.50x=187-72.6`

`10.4x=114.4`

`x=114.4/10.4`

`x=11\ pounds`