Question

Kaitlin's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Kaitlin $5.50 per pound, and type B coffee costs $4.25 per

pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $448.00. How many pounds of type A coffee were used?

Answer 1

The quantity of Type A coffee were used is 32 pounds .

Explanation:

Given as :

The cost of type A coffee = $ 5.50 per pound

The cost of type b coffee = $ 4.25 per pound

The total cost of coffee = $ 448.00

The quantity of coffee of type B is twice than type A

Let The quantity of type A coffee = x pound

So, The quantity of type B coffee = 2 × x pound

Now, According to question

x × $ 5.50 + 2 x × $ 4.25 = $ 448

Or, x × $ 5.50 + x × $ 8.5 = $ 448

Or, 14 x = 448

∴ x =
`(448)/(14)`

I.e x = 32

∴ The quantity of type A coffee = 32 pound

And, The quantity of type B coffee = 2 × 32 = 64 pound

Hence The quantity of Type A coffee were used is 32 pounds . Answer