Question

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

Answer 1

`4t+72>400`

`t>82`

Explanation:

Let t be number of tickets sold by the committee.

We have been given that the committee earns $4 for each ticket they sell, so money earned from selling t tickets will be 4t.

We are also told that the committee earns $72 from a bake sale, so the total money earned by school will be equal to amount earned from t tickets and the bake sale.

`\text{Total money earned by the dance committee}=4t+72`

As the dance will cost $400, so the total money earned should be greater than 400. We can represent this information in an inequality as:

`4t+72>400`

Therefore, the inequality
`4t+72>400` represents the number of tickets the committee could sell to have money left over after they pay for this year's dance.

Let us solve for t by subtracting 72 from both sides of our inequality.

`4t+72-72>400-72`

`4t>328`

Let us divide both sides of our inequality by 4.

`(4t)/(4)>(328)/(4)`

`t>82`

Therefore, the number of tickets sold by dance committee should be greater than 82 to have money left over after they pay for this year's dance.