Peter is throwing a surprise party for his friend Tammy. He has a budget of $350. If the restaurant charges $20 per person for drinks and food and a cleanup fee of $35, what is the maximum number of people that he can invite to stay within budget? Write and solve an inequality.
number of people---- x
cost = 20x + 35
20x + 35 ≤ 350
20 x ≤ 315
x ≤ 315/20 ≤ 15.75
So he can invite 15 people maximum
test:
if he invites 15
cost = 20(15) + 35 = 335 , within his budget
if he invites 16
cost = 20(16) + 35 = 355 , above budget.