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

Answer:

The owner needs to mix 11 pounds of chocolate

Step-by-step 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

$18.90x+72.6=8.50x+187$

$18.90x-8.50x=187-72.6$

$10.4x=114.4$

$x=114.4/10.4$

$x=11\ pounds$