Math Question

Question

A ski resort charges $45 for an all-day lift pass and
$40 per day for renting boots and a snowboard. At a store, you can
buy boots and a snowboard for $360. How many times must you go
snowboarding at the ski resort for the cost of buying your own boots
and snowboard to be less than renting them?

Answer 1

Your looking for the point where the Cost to Buy is less than the cost of the rental times the number of visits. To do this you set the numbers equal to each other.

 

$360 = $40(X-1)

$360 = $40X - 40

$360 + $40 = $40X

$400 = $40X

1/$40*400=X

10=X

 

Note: I used (x-1) to show that you need to go one more time than break even to have the purchase price be less than renting. You could also omit the (X-1) and add 1 more trip at the end of the equation to account for the extra visit needed.