Anna has $45 to spend on felt to make banners for an upcoming game. Gold felt costs $5 per yard and blue felt costs $4 per yard. Anna needs at least 7 yards of felt to make the banners. Which is a solution for this situation?

Question

Xiomara

Mathematics

23 January, 15:03

Anna has $45 to spend on felt to make banners for an upcoming game. Gold felt costs $5 per yard and blue felt costs $4 per yard. Anna needs at least 7 yards of felt to make the banners. Which is a solution for this situation?

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Answers (1)

Know the Answer?

Hannah Abbott · Answer 1

For this case you must make a system of equations that suits the situation you want to solve.

We have then:

x: Gold felt

y: Blue felt

Writing the system of equations:

x + y> = 7

5x + 4y = <45

Solving the system of equations:

Step 1: Multiply equation 1 by - 4

-4x - 4y = - 28

5x + 4y = 45

Step 2: add equations:

x = 45-28

x = 17

Clearing y:

y = 7-x = 7-17 = - 10

y = - 10

answer

You can buy between 7 and 9 Gold felt