Algebra question

Question

A store owner wants to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $11.30 per pound should be mixed with 17 pounds of trail mix costing $2.60 per pound to create a mixture worth $6.68 per pound.

Answer 1

The store owner should add 15 pounds of chocolate to the mixture. Using the equation (2.6y+11.3x)/(x+y)=6.68 where x represents the pounds of chocolate and y represents pounds of trail mix, you can substitute 17 in for y and use polynomial division to simplify the equation to the left of the equal sign. After doing these steps you should be left with 11.3-(147.9/(x+17))=6.68. From here you can solve for x to find that to make a combination worth $6.68 per pound, the store owner should have x=15 pounds of chocolate and y=17 pounds of trail mix.

Answer 2

11.30x + 2.60(17) = 6.68(17 + x)

Can you solve for x and answer?