Question

A high school purchases a printing machine that can put lettering on clothing for $6000. The school plans to print T-shirts with the school logo and sell them. Each T-shirt costs the school $4 and will sell for $12. How many T-shirts must the school sell before breaking even

Answer 1

750 is your answer. Hope this helps!

Answer 2

Let the number of T-shirts school must sell before breaking even = 'x'

To break even means that,

Income earned by the school = Cost paid by the school (Equation 1)

First we will calculate the income earned by the school,

`= $12 * x`

= $ 12x

Now, we will calculate the cost paid by the school

= $
`(6000 + 4 * x)`

= $(6000+4x)

Now, using equation 1

We get,

12x = 6000 + 4x

12x - 4x = 6000

8x = 6000

`x = (6000)/(8)`

= 750

Therefore, the school must sell 750 T-shirts before breaking even.