Question

While on vacation, Enzo sleeps 115% as long as he does while school is in session.He sleeps an average of SSS hours per day while he is on vacation.

Answer 1

`(100)/(115)S`

`(1)/(1.15)S`

Explanation:

Let x represent the number of hours per day Enzo sleeps on average while school is in session

We have been given that while on vacation, Enzo sleeps 115% as long as he does while school is in session. He sleeps an average of S hours per day while he is on vacation.

We are supposed to find the expression, which represents the number of hours per day Enzo sleeps on average while school is in session.

Since number of hours Enzo sleeps on vacation (S) is 115% of the hours he sleeps while school is in session, so S will be equal to 115% of x. We can represent this information in an equation as:

`S=115\%\text{ of }x`

`S=(115)/(100)x`

`S=(115)/(100)x`

Let us solve for x.

`S*(100)/(115)=(100)/(115)(115)/(100)x`

`(100)/(115)S=x`

`(1)/(1.15)S=x`

Therefore, our required expressions would be
`(100)/(115)S` and
`(1)/(1.15)S`.