Question

An ice skating rink charges $4.75 for admission and skate rental. If you bring your own skates, the admission is $3.25. You can buy a pair of skates for $45. How many times must you go ice skating to justify buying your own skates

Answer 1

More than 30 times

Step-by-step explanation:

The charge for admission and skate rental = $4.75

The charge for admission only =$3.25

Let the number of times you go skating = x

• The total cost of skating ,without your own skate, x times =$4.75x

,

• The total cost of skating ,with your own skate ,x times = $(45 +3.25x)

To justify owning your own skate:

The total cost of owning a skate must be less than the total cost of not owning one.

We thus have the inequality:

`45+3.25x<4.75x`

We solve the inequality for x.

`\begin{gathered} 45<4.75x-3.25x \\ 45<1.5x \\ (45)/(1.5)<(1.5x)/(1.5) \\ 3030 \end{gathered}`

We conclude that you must go skating more than 30 times to justify buying your own skates.