Question

Kellen wants to rent a banquet room in a restaurant for her cousin’s baby shower. The restaurant charges \(350 for the banquet room plus \)32.50 per person for lunch. How many people can Kellen have at the shower if she wants the maximum cost to be $1,500?

Short answer

The number of people are about$35$.

Step-by-step solution

Given information

The cost of room is $\$350$plus $\$32.50$ per person extra for lunch.

Suppose the number of people

Let the number of people be $x$.

The cost of room $\$32.50$plus cost of lunch times number of people no more than $\$1500$.

$$\begin{gathered} 350+32.50x\le 1500 \\ 32.50x\le 1150 \\ x\le 35.38 \end{gathered}$$

Round of the number to its nearest integer:

$x\le 35$

Therefore, the total number of people can be invited are about$35$.