Question

Sharon wants to throw a baby shower for her sister. She is comparing two event halls to host the baby shower in. Event Hall A charges a hall rental fee of $300 plus $25 for each guest. Event Hall B charges $200 plus $35 for each guest. At how many guests will both companies charge the same amount? (Type only the numerical answer)

Answer 1

Let's call x to the number of guests.

Event Hall A cost: 300 + 25x

Event Hall B cost: 200 + 35x

If both companies charge the same amount:

300 + 25x = 200 + 35x

Solving for x:

300 - 200 = 35x - 25x

100 = 10x

100/10 = x

x = 10