Question

The membership fee for joining a camping association is $45. A local campground charges members of the camping association $35 per night for a campsite and non members $40 per night for a campsite. After how many nights of camping is the total cost for members, including the membership fee, the same as the total cost for nonmembers?

Answer 1

Total cost for members for x nights = 45 + 35x
Total cost for nonmembers for x nights = 40x

For the total cost to be same
45 + 35x = 40x
40x - 35x = 45
5x = 45
x = 45/5 = 9

The total cost for members and non members will be the same after 9 nights.