The cost of renting a private room at a restaurant is $89.95 plus $14 for each person attending. Guillermo has a total of $180 to spend on a birthday party for himself. What is the maximum number of guests he could have at his party if he does not go over his budget?

Answer:the maximum number of guests he could have at his party if he does not go over his budget is 6

Step-by-step explanation:

The cost of renting a private room at a restaurant is $89.95 plus $14 for each person attending. Assuming Guillermo wants to host x guests, that means that he would rent x private rooms. The total cost, y of renting x private rooms is expressed as

y = 14x + 89.95

Guillermo has a total of $180 to spend on a birthday party for himself. This means that y = 180. Therefore,

180 = 14x + 89.95

14x = 180 - 89.95

14x = 90.05

x = 90.05/14

x = 6