Tomas and Emilio have a budget of $200 to plan their party at a movie theater. The party room at the theater costs $45.99 to rent and includes a free cake. Movie tickets cost $12.50 each, and a small bag of popcorn costs $4.50.

Emilio states that 9 friends can attend the party. Tomas argues that they can only bring 7 friends. Who is correct? Explain.

1 answer

To determine who is correct, we need to calculate the total cost of the party.

First, we need to subtract the cost of renting the party room with a free cake from the total budget:
$200 - $45.99 = $154.01

Next, we need to consider the cost of movie tickets for the friends who will attend the party.

If Emilio is correct and 9 friends can attend the party, the cost of movie tickets will be:
9 friends * $12.50 per ticket = $112.50

However, if Tomas is correct and only 7 friends can attend the party, the cost of movie tickets will be:
7 friends * $12.50 per ticket = $87.50

Additionally, let's consider the cost of small popcorn bags for the friends who will attend the party.

For 9 friends:
9 friends * $4.50 per bag = $40.50

For 7 friends:
7 friends * $4.50 per bag = $31.50

Now, let's calculate the total cost of the party for each scenario:

For Emilio's scenario:
Cost of party room with cake + Cost of movie tickets + Cost of small popcorn bags =
$45.99 + $112.50 + $40.50 = $198.99

For Tomas's scenario:
Cost of party room with cake + Cost of movie tickets + Cost of small popcorn bags =
$45.99 + $87.50 + $31.50 = $164.99

Since $198.99 (Emilio's scenario) is larger than $164.99 (Tomas's scenario), it means that Emilio's estimate of 9 friends attending the party is not feasible within the given budget of $200. Therefore, Tomas is correct, and they can only bring 7 friends to the party.