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?

Type A coffee in lbs = 97 lbs

Step-by-step 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

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answer