Question

The dance committee of Pine Bluff Middle School earns \$72$72dollar sign, 72 from a bake sale and will earn \$4$4dollar sign, 4 for each ticket they sell to the Spring Fling dance. The dance will cost \$400$400dollar sign, 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

Correct Expression: 72 + 4t > 400

Solution: t > 82

Explanation:

The Spring Fling dance will cost $400.

Chart explained on Khan Academy:

Will there be leftover money if the committee earns: Less than 400? Response: No

Will there be leftover money if the committee earns: Exactly 400? Response:No

Will there be leftover money if the committee earns: More than 400? Response: Yes

So the conclusion is: Total dollars > 400

The committee has 72 dollars plus the amount they will earn by selling t tickets at $4 per ticket, which is 4t dollars

The committee will earn a total 72 + 4t dollars.

This amount must be greater than 400, so the inequality is:

72 + 4t > 400

Please trust me on this one, I got it wrong on Khan Academy and this is the exact explanation. Good luck on your learning!

Answer 2

The correct answer is 72 + 4 × x
`\geq` 400.

Explanation:

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.

Let x number of tickets the committee could sell.

Total money earned is 72 + 4 × x.

The committee should have some left over money also after spending for the dance which costs $400.

Thus the inequality to determine the number of tickets the committee could sell to have money left over after they pay for this year's dance is given by,

72 + 4 × x
`\geq` 400.