Question

Rita's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Rita $5.70 per pound, and type B coffee costs $4.10 per pound. This month, Rita made 177 pounds of the blend, for a total cost of $850.50. How many pounds of type B coffee did she use?

Number of pounds of type B coffee:-

Answer 1

Amount of Type B coffee used = 99 pounds

Explanation:

Let the amount of type A taken be x pounds and type B taken be y pounds.

But we know that the total amount of coffee used = 177 pounds.

Type A coffee costs $5.70 per pound and type B coffee costs $4.10 per pound.

The total cost for the blend = $850.50.

We have to find the pounds of type B coffee used.

Equating the total costs,

5.70x + 4.10y = 850.50

x + y = 177

Substitute x = 177 - y in the first equation.

5.70
`*(177 - y)` + 4.10y = 850.50

158.40 = 1.60 y

y =
`(158.4)/(1.6)` = 99

Amount of Type B coffee used = 99 pounds