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?

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