Two T-Shirt companies are trying to get my business. Company A charges a $20 deposit and then $5 per shirt. Company B has no deposit and charges $7.50 per shirt. After how many shirts will they have made the same amount of money? How much money will it be?

8 shirts, $60

Step-by-step explanation:

Company A: 20+5x=y

Company B: 7.50x=y

Since y represents the amount of money and x represents the number of shirts, you set them equal to each other and solve for x to find the number of shirts where they will have the same amount of money.

20+5x=7.50x

20=2.50x

x=8 shirts

Now that we know they will have the same amount of money at 8 shirts, you just plug in 8 for x on one of the starting equations. You can plug 8 in to both to double check that it gives the same value for both.

20+5(8)= 60

7.50(8)= 60

We have verified that with 8 shirts, they will both be making 60 dollars.