Question

Rita's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Rita $4.05 per pound, and type B coffee costs $5.30 per pound.

This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $578.55. How many pounds of type A coffee were used?
Number of pounds of type A coffee:

Answer 1

1. Answer: 39 lbs of coffee a. was used

Explanation:

We need to set up two expressions with two variables to answer this question. First let's set up the relationship that accounts for the unit cost of the coffees and the total cost for the blend.

5.65*A + 4.25*B = 717.6

Then we need an expression that compares the amount of each coffee used for the blend. Since three times of B was used, we can write the expression

3A = B

Take this and plug in 3A for B in the first expression so you get

5.65*A + 4.25*3A = 717.6

Work it through and simplify. You get 18.4*A = 717.6. Divide 18.4 into 717.6 to get 39 lb of coffee was used

Answer 2

192.85

Explanation:

578.55/3=192.85 try it!