Question

Ivanna's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ivanna $5.70 per pound, andtype B coffee costs $4.20 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a totalcost of $366.60. How many pounds of type A coffee were used?

Answer 1

Given:

Ivanna's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ivanna $5.70 per pound, and type B coffee costs $4.20 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $366.60.

Required:

Find the type of coffee A was used.

Explanation:

The cost of type A coffee = $5.70

The cost of type B coffee = $4.20

Let the type of coffee A is used = a

Let the type of coffee B is used = b

This month's blend used twice as many pounds of type B coffee as type A.

$b=2a$

The total cost of the blend = $366.60

$5.70a+4.20b=366.60$

Substitute b =2a

$\begin{gathered} 5.70a+4.20(2a)=366.60 \\ 5.70a+8.40a=366.60 \\ 14.10a=366.60 \\ a=\frac{366.60}{14.10} \\ a=26 \end{gathered}$

Final Answer:

Thus 26 pounds of type A coffee is used.