Question

The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance. The dance will cost $400 Write an inequality to determine the number, t of tickets the committee could sell to have money left over after they pay for this year's dance. What is the solution set of the inequality?

Answer 1

`72+4t>400,`

`t>82.`

Explanation:

Let t be the number of tickets the committee sold. If Middle School earns $4 for each ticket sold to the Spring Fling dance, then they earn $4t for t tickets sold.

If Middle School earns $72 from a bake sale and earns $4t from selling t tickets, then they earn $(72+4t) in total.

The dance will cost $400, so

`72+4t>400,\\ \\4t>400-72,\\ \\4t>328,\\ \\t>82.`