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Anna35 [415]
3 years ago
7

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 $5.7

0 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?
Mathematics
1 answer:
RUDIKE [14]3 years ago
7 0

Answer:

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

<em>Multiply equ 1 by 4.55</em>

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

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

<em>Subtracting equ 3 from equ 4</em>

1.15y = 57.65

y = 50

<em>Substituting y = 50 into equ 1</em>

x + 50 = 147

x = 97

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