Question

A coffee mixture contains beans that sell for $0.08 per pound and $0.32 per pound. If 110 pounds of beans create a

Answer 1

Answer:

The pounds of beans that sells for $0.08 per pound used in the mixture is 22.9 and the pounds of beans that sells for $0.32 per pound used in the mixture is 87.1

Step-by-step explanation:

Let

x ----> pounds of beans that sells for $0.08 per pound

y ----> pounds of beans that sells for $0.32 per pound  

we know that

$x+y=110$ ----> equation A

$0.08x+0.32y=0.27(110)$

$0.08x+0.32y=29.7$ ----> equation B

Solve the system by graphing

The solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (22,9,87.1)

The solution is reasonable

The pounds of beans that sells for $0.08 per pound used must be less than the pounds of beans that sells for $0.32 per pound, because the unit rate of $0.27 per pound is closer to the unit rate of $0.32 per pound

see the attached figure

therefore

The pounds of beans that sells for $0.08 per pound used in the mixture is 22.9 and the pounds of beans that sells for $0.32 per pound used in the mixture is 87.1