Tomas and Emilio are twins. They want to invite their friends to celebrate 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 includes a free cake. Movie tickets cost $12.50 each, and a small bag of popcorn costs $4.50.
Tomas writes 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.
Which brother’s statement best represents the situation? Explain.
Emilio's inequality statement that represents the situation better.
Explanation:
Tomas writes an equation to represent the cost of their party, but an equation would not properly capture the restriction on the number of people who can attend within the given budget. An equation would only calculate the exact cost of the party for a specific number of people.
On the other hand, Emilio writes an inequality, which allows for a range of possible values for the number of people who can attend. This captures the restriction that the number of people must be within the budget of $200.