Middle School

We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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 use?

Answer :

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

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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