Question

Felipe's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A costs Felipe $4.55 per lb. Type B costs $5.70 per lb. This month, Felipe made 147 lbs of the blend for a total of $726.50. How many lbs of type A coffee did he us?

Answer 1

Type A coffee in lbs = 97 lbs

Explanation:

Type a = 4.55/lbs = x

type b = 5.70/lbs = y

Total in lbs = 147lbs

total in sales = 726.50

First,

x + y = 147 lbs -------------------equ 1

4.55x + 5.70y = lbs ------------ equ 2

Multiply equ 1 by 4.55

4.55x + 4.55y = 668.85 -------------equ 3

4.55x + 5.70y = 726.50 ------------equ 4

Subtracting equ 3 from equ 4

1.15y = 57.65

y = 50

Substituting y = 50 into equ 1

x + 50 = 147

x = 97