Question

Keiko's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee cost Keiko $4.15 per pound, and type B coffee costs $5.25 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $980.85. How many pounds of type A coffee were used?

Answer 1

Answer:

39 pounds of type A coffee were used.

Step-by-step explanation:

Given: Cost of type A coffee is $4.15 per pound and cost of type B coffee is $5.25 per pound. Also, blend used four times as many pounds of type B coffee as type A.

To find: How many pounds of type A coffee were used.

Let $x$ be the number of pounds of type A coffee and $y$ be the number of pounds of type B coffee.

Then, according to question,

$4.15x+5.25y=980.85$ and $y=4x$

Substituting $y=4x$ in $4.15x+5.25y=980.85$, we get

$4.15x+5.25(4x)=980.85$

⇒$4.15x+21x=980.85$

⇒$25.15x=980.85$

⇒$x=\frac{980.85}{25.15}$

⇒$x=39$

Therefore, 39 pounds of type A coffee were used.