Question

Jose's Coffee Shop makes a blend that is a mixture of two types of coffee, Type A coffee costs Jose $4.10 per pound, and type B coffee costs $5.25 per pound.This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $635.20. How many pounds of type A coffee were used?Number of pounds of type A coffee?

Answer 1

Let the type A coffee be

`=x`

Let the type B coffee be

`=y`

Three times as many pounds of type B coffee as type A, will be represented below as

`y=3x`

The cost of type A coffee is

`=\text{ \$4.10 per pound}`

The cost of type B is

`=\text{ \$5.25 per pound}`

The total cost of both coffee is

`=\text{ \$635.20}`

Hence,

The equation will be

`\begin{gathered} 4.10x+5.25y=635.20 \\ 4.10x+5.25(3x)=635.20 \\ 4.10x+15.75x=635.20 \\ 19.85x=635.20 \\ (19.85x)/(19.85)=(635.20)/(19.85) \\ x=32 \end{gathered}`

Hence,

The number of pounds of type A coffee is = 32 pounds