Question

The dance committee of Pine Bluff Middle School earns \$72$72 from a bake sale and will earn \$4$4 for each ticket they sell to the Spring Fling dance. The dance will cost \$400$400.
Write an inequality to determine the number, tt, of tickets the committee could sell to have money left over after they pay for this year's dance.


Inequality:


What is the solution set of the inequality?


A: t < 82

B: t ≤ 82

C: t > 82

D: t ≥ 82

Answer 1

Answer:

4t+72>400

c: t>82

Step-by-step explanation:

Answer 2

Answer:

Inequality is $4t+72>400$

Solution is C: t > 82

Step-by-step explanation:

Let the number of tickets = t

It is given that the committee earns $4 per ticket. That is, they earn $4t$ dollars.

Also, the committee earns $72 from the bake sale.

So, the total income is $4t+72$ dollars.

Since, the dance will cost $400.

So, the total earning must be greater than $400.

Thus, the inequality for the situation is given by, $4t+72>400$.

So, on solving, we have,

$4t+72>400$

i.e. $4t>328$

i.e. t > 82.

Thus, the solution of the inequality is $t> 82$

Hence, option C is correct.