Question

Susan's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Susan $5.45 per pound, and type B coffecosts $4.05 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $633.60. Howmany pounds of type A coffee were used?

Answer 1

Given:

Susan's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Susan $5.45 per pound, and type B coffe costs $4.05 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $633.60.

Required:

We need to find that how many pounds of type A coffee were used

Explanation:

Let

a is pound of A coffee used

b is pound of B coffee used

By given statement

$b=3a$

and also

$5.45a+4.05b=633.6$

from both equation

$\begin{gathered} 5.45a+12.15a=633.6 \\ 17.6a=633.6 \\ a=36 \end{gathered}$

Final answer:

36