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

Answer:

The number of​ tie-dyed shirts is 175

Step-by-step 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 $y = \frac{x}{5}$

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

This is x.

$x + y = 210$

$x + \frac{x}{5} = 210$

$\frac{5x + x}{5} = 210$

$6x = 210*5$

$x = \frac{210*5}{6}$

$x = 175$

The number of​ tie-dyed shirts is 175