Question

At a trampoline park, the individual rate is $6.00 per person plus an additional $2.00 per person for socks. The group rate is a $25.00 rental fee plus $8.00 per person, and socks are included.

How many people must be in a group for the group rate to cost the same amount as the individual rate?

Answer 1

Let's call the number of people in a group "x". The cost for the individual rate for x people is 6.00 * x + 2.00 * x = 8.00 * x dollars. The cost for the group rate for x people is 25.00 + 8.00 * x dollars. To find when these two costs are equal, we can set them equal to each other and solve for x:

8.00 * x = 25.00 + 8.00 * x
25.00 = 25.00
8.00 * x = 25.00
x = 25.00 / 8.00
x = 3.125

Since x must be a whole number, we round up to the nearest whole number, which is 4. Therefore, 4 people must be in a group for the group rate to cost the same amount as the individual rate