Question

Last week at a​ festival, a man sold 5 times as many​ tie-dyed T-shirts as​ silk-screened shirts. He sold 210 shirts altogether. How many​ tie-dyed shirts did he​ sell? The number of​ tie-dyed shirts is

Answer 1

The number of​ tie-dyed shirts is 175

Explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of tie-dyed T-shirts sold.

y is the number of silk-screened shirts.

He sold 210 shirts altogether.

This means that
`x + y = 210`

Last week at a​ festival, a man sold 5 times as many​ tie-dyed T-shirts as​ silk-screened shirts.

This means that
`x = 5y` or
`y = (x)/(5)`

How many​ tie-dyed shirts did he​ sell?

This is x.

`x + y = 210`

`x + (x)/(5) = 210`

`(5x + x)/(5) = 210`

`6x = 210*5`

`x = (210*5)/(6)`

`x = 175`

The number of​ tie-dyed shirts is 175