Answer this question for me please.

Question

A store sells regular coffee for $8 a pound and gourmet coffee for  $14 a pound. To get rid of 40 pounds of the gourmet coffee,a shopkeeper makes a blend to put on sale for $10 a pound. How many pounds of regular coffee should he use?

Answer 1

Let x=pounds of regular coffee

Let 8x= value of regular coffee

Let 14=cost of gourmet coffee

Let 14X40=value of gourmet coffee

Let 40+x=pounds of mixture

Let 10(40+x)=value of mixture

Equation: 8x+560=10(40+x)

Solve for x:

8x+560=400+10x

560-400=10x-8x

160=2x

80=x

Therefore, he should use 80 pounds of regular coffee.