Question

Last week at a​ festival, a man sold 5 times as many​ tie-dyed T-shirts as​ silk-screened shirts. He sold 228 shirts altogether. How many​ tie-dyed shirts did he​ sell?

Answer 1

The man sold 190 tie-dyed T-shirts

Explanation:

This problem can be modeled by a system of equations.

I am going to call x the number of tie-dyed T-shirts that the man sold and y the number of silk-screened shirts that he sold.

We have that he sold 5 times as many tie-dyed T-shirts as silk-screened shirts. So this gives us our equation 1)

1) x = 5y.

We also know that altogether, he sold 228 shirts. So this gives us our equation 2)

2) x + y = 228.

Now, we solve the system formed by equations 1) and 2)

x = 5y

x + 5y = 228

6y = 228

y = 38

x = 5*38

x = 190

So, in all, the man sold 190 tie-dyed T-shirts and 38 silk-screened T-shirts.