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,t of tickets the committee could sell to have money left over after they pay this years dance

Answer 1

The Inequality to determine the number of tickets the committee could sell to pay this years dance
`72+4t\geq 400`.

The committee need to sell more than 82 tickets to have money left over after they pay this years dance.

Explanation:

Given:

Cost of the Dance =$400

Money earn from bake sale =$72

Cost of each ticket = $4

We need write the inequality to determine the number of tickets the committee could sell to pay this years dance.

Solution:

Let the number of tickets to be sell be 't'.

So we can say that;

Money earn from bake sale plus Cost of each ticket multiplied by number of tickets should be greater than or equal to Cost of the Dance.

framing in equation form we get;

`72+4t\geq 400`

Hence The Inequality to determine the number of tickets the committee could sell to pay this years dance
`72+4t\geq 400`.

On solving the above equation we get;

subtracting both side by 72 we get;

`72+4t-72\geq 400-72\\\\4t\geq 328`

Dividing both side by 4 we get;

`(4t)/(4)\geq (328)/(4)\\\\t\geq 82`

Hence The committee need to sell more than 82 tickets to have money left over after they pay this years dance.