Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

8 friends started a business. They will wear either a baseball cap or a shirt imprinted with their logo while working. They want to spend exactly $36 on the shirts and caps. Shirts cost $6 each and caps cost $3 each. Write a system of equations to describe the situation. Let x represent the number of shirts and y represent the number of caps.

Graph the system. What is the solution and what does it represent?

Sagot :

iGreen
We can write this system of equations:

6x + 3y = 36
x + y = 8

If you graph this, it gives you a solution of (4, 4)

This tells us that the friends must buy 4 shirts and 4 caps in order to spend exactly $36 and to have 8 items total.
carlosego

For this case, the first thing we must do is define variables.

We have then:

y: number of caps

x: number of shirts

We now write the system of equations that represents the problem:

[tex] x + y = 8

6x + 3y = 36
[/tex]

The graphical solution of the system of equations (see attached image) is:

[tex] x = 4

y = 4
[/tex]

Therefore, we have 4 shirts and 4 caps.

Answer:

[tex] x + y = 8

6x + 3y = 36
[/tex]

See attached image for the graphic

number of caps = 4

number of shirts = 4

View image carlosego
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.