Local barista needs spice mixture

Question

A local barista wishes to make a special mixture of cinnamon costing $8 a pound and nutmeg costing $4 a pound. How many pounds of cinnamon and nutmeg must be mixed to make five pounds of mixture at a cost of $7 a pound?

a: Write an equation to represent the pounds of spices in the mixture.

b: Write an equation to represent the dollar value per pound of spices in the mixture.

Answer 1

c represents the amont of cinnamon

5 - c represents the amount of nutmeg

8c + 4(5 - c) = 7(5)

Can you solve for c and answer?