Question

The dance committee of Pine Bluff Middle School earns $75 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

Answer 1

Number of tickets must be greater than 82 to let the money to left over after the dance pay.

Explanation:

Let the number of tickets be t

Earnings from each ticket after selling = $4

Amount earned by selling all the tickets = 4 × t

Earnings from a bake sale = $75

⇒ Total earnings of the dance committee = 75 + 4·t

Amount paid for the dance = $400

So, inequality such that after paying for the dance money is left over is such that there total earnings must be greater than the dance pay.

⇒ 75 + 4·t > 400

⇒ 4·t > 400 - 75

⇒ 4·t > 325

⇒ t > 81.25 ≈ 82

Hence, Number of tickets must be greater than 82 to let the money to left over after the dance pay.