Question

Jeff is going skiing. It costs $65 to rent skis plus $10 an hour to ski. He doesn't want to spend more than $120 and you have to pay for a whole hour even if you don't ski the whole hour. He wants to know how long can he ski. Write and solve an inequality to answer Jeff's question.

Answer 1

120-65=55÷10=5.5 hours

Answer 2

5 hours he can ski.

Explanation:

The first step is to write the problem in mathematical language.

So let's call "x" at the time of ski rental.

Now we can do the inequality as follows

`65+10x\leq 120`

Where we are indicating that the total of 65 pesos of ski rental, plus 10 of each hour of rent, should not be greater than 120

Now we only solve the inequality:

We separate the terms that depend on the variable from those that do not depend on it:

`10x\leq 120-65`

we simplify

`10x\leq 55`

We divide by the coefficient of the variable

`x\leq (55)/(10)`

We simplify

`x\leq (11)/(2) \\x\leq 5.5`

So, Jeff must ski no more than 5 hours to spend 120