Question

Two restaurants have rooms to rent for dinner parties. One restaurant charges $100 to rent a room and $20 per person. The other restaurant charges $25 to rent the room and $25 per person. Which of the following is the number of people for which the cost of a dinner party would be the same at both restaurants?

A. 10

B. 15

C. 20

D. 25

Answer 1

n = numbers of persons


100 + 20 * n = 25 + 25 * n

100 + 20 n = 25 + 25 n Subtract 25 to both sides

100 + 20 n - 25 = 25 + 25 n - 25

75 + 20 n = 25 n Subtract 20 n to both sides

75 + 20 n - 20 n = 25 n - 20 n

75 = 5 n Divide both sides by 5

75 / 5 = 5 n / 5

15 = n

n = 15


Proof:

100 + 20 * 15 = 25 + 15 * 25

100 + 300 = 25 + 375

400 $ = 400 $

Answer 2

Dear Roberta,
Let the number of people be y
100 + 20y = 25 + 25 y
75 = 5y
y = 15
So the answer should be B
Hope it helps!
Wishing you the best of luck,
Barry

Answer 3

ppizzazz