Question

Resorts-R-Us charges $ 125 a night to rent a suite. If you purchase their oneyear membership fee for $350, you only pay $75 a night. Which is a better deal?

Answer 1

Explanation:

Let x represent the number of nights for which you rent a suite.

Resorts-R-Us charges $ 125 a night to rent a suite. If you choose this plan, the total cost of renting the suite for x nights would be

125 × x = 125x

If you purchase their one year membership fee for $350, you only pay $75 a night. This means that the total cost of renting a suite for x nights would be

75x + 350

For the plan involving membership to be a better deal,

75x + 350 < 125x

350 < 125x - 75x

350 < 50x

50x > 350

x > 350/50

x > 7

After 7 nights, the membership option would be a better deal. If you intend to rent the suite for lesser than 7 nights in a year, then the first option is a better deal.