Question

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

Answer 1

For room 1;
cost=100+20p where p is the number of people.
Cost for room 2;
cost= 25+25p

For cost to be same;
25+25p=100+20p
Putting like terms together;
25p-20p=100-25
5p=75
p=$\frac{75}{5}$
p=15