Question

Maya's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Maya $4.05 per pound, and type B coffee costs $5.20 per pound. This month, Maya made 123 pounds of the blend, for a total cost of$557.95 . How many pounds of type B coffee did she use?

Answer 1

Equation 1: x + y = 123 (total pounds of the blend)
Equation 2: 4.05x + 5.20y = 557.95 (total cost of the blend)

To solve, we can use substitution or elimination method. Let's use the elimination method.

Multiply Equation 1 by 4.05 to make the coefficients of x in both equations the same:

4.05(x + y) = 4.05(123)
4.05x + 4.05y = 498.15

Now subtract Equation 2 from the new equation:

(4.05x + 4.05y) - (4.05x + 5.20y) = 498.15 - 557.95
-1.15y = -59.80

Divide both sides by -1.15:

y = 59.80 / 1.15
y ≈ 52

Maya used approximately 52 pounds of type B coffee in the blend.