# Inequality and budgeting a party

Terri has a budget of \$750 to spend on a party. The cost of renting the room is \$200 and she expects 40 people to attend. Which inequality describes the amount of money, a , she can spend on each person?

Solution

If the budget is \$750, then the amount of money he spend must be less than \$750.

The amount of money that Terri will spend ≤ \$750

How much money is he going to spend?

The amount of money Terri will spend is equal to the cost of renting the room plus the cost per person.

The amount of money Terri will spend = 200 + 40a

The inequality that describes the amount of money Terri will spend for the party is

200 + 40a ≤ \$750

You could solve the inequality above.

40a ≤ \$750 - 200

40a ≤ \$550

a ≤ \$550/40

a ≤ \$13.75

Terri can spend on up \$13.75 on each person.

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