Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Michelle is purchasing fabric for two new sewing projects: a hat and a tote bag. The two projects each need red and black fabric. The hat requires 2 yards of red fabric and 1 yard of black fabric. The tote bag requires 2 yards of red fabric and 4 yards of black fabric. Michelle paid $14 for the hat’s fabric and $26 for the tote bag’s fabric. How much does one yard of each fabric cost?

Sagot :

The cost of one yard of black fabric is $4.

The cost of one yard of red fabric is $5.

What are the linear functions that represent the question?

2r + b = 14 equation 1

2r + 4b = 26 equation 2

Where:

r = cost of one yard of red fabric

b = cost of one yard of black fabric

What is the cost of each type of fabric?

Subtract equation 1 from equation 2

3b = 12

b = 12 / 3

b = 4

Substitute for b in equation 1

2r + 4 = 14

2r = 14 - 4

2r = 10

r = 10 / 2

r = $5

To learn more about linear functions, please check: https://brainly.com/question/26434260

#SPJ1

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.