Question

The play director spent 190190190 hours preparing for a play. That time included attending 353535 rehearsals that took varying amounts of time and spending 93 \dfrac{3}{4}93 4 3 ? 93, start fraction, 3, divided by, 4, end fraction hours on other responsibilities related to the play. What question does the equation 35x+93\dfrac{3}{4}=19035x+93 4 3 ? =19035, x, plus, 93, start fraction, 3, divided by, 4, end fraction, equals, 190 help answer?

Answer 1

What was the average length of each rehearsal?

Explanation:

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Answer 2

The equation
`35x+93(3)/(4) =190` gives average time spent on 35 rehearsals.

Explanation:

We are supposed to find that what question does the equation
`35x+93(3)/(4) =190` finds answer of.

We can see that 35x represents time spent on 35 rehearsals and
`93(3)/(4)` is time spent on other responsibilities related to play. The sum of these times equals to total time spent on preparing the play.

Now let us solve our equation step by step.

`35x+(375)/(4) =190`

After subtracting
`93(3)/(4)` hours from 190 hours we will get time spent on 35 rehearsals.

`35x =190-(375)/(4)`

`35x =(760-375)/(4)`

`35x =(385)/(4)`

Time spent on 35 rehearsals is 96.25 hours and we are told that each rehearsal took different amount of time. Dividing 96.25 by 35 we will get average time spent on each rehearsal.

`x =(96.25)/(35)=2.75`

Therefore, equation
`35x+93(3)/(4) =190` finds average time spent on 35 rehearsals.