Question

algerbra. com The ninth graders at a high school are raising money by selling T-shirts and baseball caps. The number of T-shirts sold was three times the number of caps. The profit they received for each T-shirt sold was $5.00, and the profit on each cap was $2.50. If the students made a total profit of $210, how many T-shirts and how many caps were sold?

Answer 1

Answer:

$36$ T-shirts and $12$ Baseball Caps

Step-by-step explanation:

GIVEN: The ninth graders at a high school are raising money by selling T-shirts and baseball caps. The number of T-shirts sold was three times the number of caps. The profit they received for each T-shirt sold was $\ 5.00$, and the profit on each cap was $\ 2.50$.

TO FIND: If the students made a total profit of $\ 210$, how many T-shirts and how many caps were sold.

SOLUTION:

Let the total number of T-shirts sold are $=\text{t}$

Let the total number of Baseball Caps sold are $=\text{b}$

Profit received on each T-shirt $=\ 5.00$

Profit received on each Baseball Caps $=\ 2.50$

Total profit received on T-shirts $=\ 5.00\text{t}$

Total profit received on Baseball Caps $=\ 2.50\text{b}$

$5\text{t}+2.5\text{b}=210$

Also,

The number of T-shirts sold was three times the number of caps.

        $\text{t}=3\text{b}$

putting in equation,

       $5\times\text{3b}+2.5\text{b}=210$

       $17.5\text{b}=210$

       $\text{b}=12$

       $\text{t}=3\times12$

       $\text{t}=36$

Hence total $36$ t-shirts and $12$ baseball Caps were sold.