Question

a club decides to sell t-shirts for $15 as a fundraiser. It costs $20 plus $9 per t-shirt to make the t-shirts. write and solve an equation to find out how many tshirts the club needs to make and sell in order to profit at least $150

Answer 1

Given

a club decides to sell t-shirts for $15 as a fundraiser.

It costs $20 plus $9 per t-shirt to make the t-shirts

sell in order to profit at least $150

Find out the number tshirts the club needs sell in order to profit at least $150.

To proof

let the number of t-shirts sell by the club = x

t- shirt selling cost = $15

t-shirt making cost = $20 + $9 per t-shirt

                               = 20 + 9x

than the equation becomes

$15x -(20 + 9x)\geq 150$

solving the above equation

we get

 15x -9x ≥ 150 +20

6x ≥  170

x ≥  28.3 (approx )

In order to make a profit of  atleast $150 club need to sell 28 t-shirts.

Hence proved

 

Answer 2

The answer is 15x-(9x+20)=>150;x =>28.33