Math equation

Question

Yolanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Yolanda $4.10 per pound, and type B coffee costs $5.50 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $704.70 . How many pounds of type A coffee were used?

Answer 1

A = pounds of Type A coffee
B = pounds of Type B coffee

 

The cost of the coffee will be found by

4.1A + 5.5B = 704.7

 

We know that B = 4A so substitute that in

and solve for A

 

4.1A + 5.5(4A) = 704.7

 

Solve for A

 

Multiply that amount by 4 to get B