Tomas and emilio are twins. they want to invite their friends to celebarte their shared birthday at the movie theater. they have a budget of $200 to plan their party. the party room at the theater costs $45.99 to rent and include a free cake. movie tickets cost $12.50 each and a small bag of popcorn cost $ 4.50. tomas write an equation to represent the cost of their party. emilio writes an inequality. both use p to represent the number of people who can attend. wtrite tomas possible equation and emilio possible inequality.

1) 17p + 45.99 = 200

2) 200 > 45.99 + 17p

Step-by-step explanation:

Total Budget = $200

Cost of Party Room = $45.99

Cost of movie ticket for one person = $12.50

Cost of one small bag of popcorn = $4.50

Part 1: Possible Equation by Tomas

The possible equation that can be set up will have the total budget equal to total expenses.

So,

200 = Total Cost of party

200 = Cost of Party Room + Cost of Movie Tickets + Cost of popcorns

If p people attend the party, the cost of movie tickets will be $12.50p and cost of popcorns will be $4.50p, assuming that each person get a small popcorn bag.

So, now the equation will be:

200 = 45.99 + 12.50p + 4.50p

200 = 45.99 + 17p

or

17p + 45.99 = 200

This is a possible equation that Tomas might have used to represent the cost of the party.

Part 2: Possible Inequality by Emilio

Emilio might want to keep the cost below $200 of the entire party. So the possible inequality will be of the form:

200 > Total Cost of party

200 > Cost of Party Room + Cost of Movie Tickets + Cost of popcorns

200 > 45.99 + 12.50p + 4.50p

200 > 45.99 + 17p

This is a possible inequality that Emilio might have used to represent the cost of the party.