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.
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.