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

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

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*\text{3b}+2.5\text{b}=210`

`17.5\text{b}=210`

`\text{b}=12`

`\text{t}=3*12`

`\text{t}=36`

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