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, ttt, of tickets the committee could sell to have money left over after they pay for this year's dance.

Answer 1

t > 82

Explanation:

First write what we know.

Earned $72

$4 per ticket, t

Cost is $400

So let's write our equation:

The cost is $400 so we put that on the left side,

$400 =

Now on the right side, we know they earned $72, so +$72 and each ticket (t) is $4 so $4t would represent the amount earned after they sell a certain number of tickets.

So we write:

$400 = $4t + $72 Now solve for t to find the number of tickets they need to sell.

400 = 4t + 72 Subtract 72 from each side.

400 - 72 = 4t + 72 - 72

328 = 4t Divide each side by 4.

328/4 = 4t/4

328/4 = t

82 = t

If the committee wants money left over they need to sell more than 82 tickets!

Our inequality is:

t > 82