Question

Yolanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Yolanda $4.25 per pound, and type B coffee costs $5.60 per pound. This month, Yolanda made 155 pounds of the blend, for a total cost of $784.30. How many pounds of type A coffee did she use?

Answer 1

she used type A coffee is 62 pounds

Step-by-step explanation:

given data

Type A coffee costs = $4.25 per pound

type B coffee costs = $5.60 per pound

this month Yolanda made = 155 pounds

this month total cost = $784.30

to find out

How many pounds of type A coffee did she use

solution

we consider here that this month type A coffee used = x

and type B coffee used = y

so equation will be

x + y = 155 ..................1

and cost equation

4.25 x + 5.60 y = 784.30 ...............2

now from equation 1 we get y

y = 155 - x .........................3

put this value in equation 2

4.25 x + 5.60 y = 784.3

4.25 x + 5.60 ( 155 - x) = 784.3

solve this equation we get

x = 62

so she used type A coffee is 62 pounds