You spend $20 total on tubes of paint and disposable brushes for an art project. Tubes of paint cost $4.00 each and paintbrushes cost $0.50 each. You purchase twice as many brushes as tubes of paint. How many brushes and tubes of paint do you purchase?

Linear equation can be used to determine the number of paintbrushes and tubes of paint. The number of paintbrushes purchased is 4 and the number of tubes of paint purchased is 8.

Given :

Spend total of $20 on tubes of paint and disposable brushes for an art project.
Tubes of paint cost $4.00 each and paintbrushes cost $0.50 each.
Purchase twice as many brushes as tubes of paint.

Solution :

This question can be solved by forming the linear equation. Now, let x be the total number of paint tubes and y be the number of paintbrushes.

So, the total amount spend on paint tubes and paintbrushes can be given by:

[tex]4x+0.5y = 20[/tex] ---- (1)

Given that he purchase twice as many brushes as tubes of paint.

[tex]y = 2x[/tex] ---- (2)

Now, substituting the value of y in equation (1):

[tex]4x + 0.5(2x) = 20[/tex]

[tex]5x = 20[/tex]

[tex]x=4[/tex]

Now, substuting the value of x in equation (2):

[tex]y = 8[/tex]

Therefore, the number of paintbrushes purchased is 4 and the number of tubes of paint purchased is 8.

For more information, refer the link given below

https://brainly.com/question/2263981