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