Question

There is 5/8 of an hour before the end of soccer practice. It takes 1/6 of an hour for the team to complete 1 full scoring drill. How many drills can the team complete before practice is over? Create a model or write an equation for the situation. Find the solution. State the solution as a full sentence

Answer 1

Three full scoring drill can be completed in
`(5)/(8)` hrs with
`(1)/(8)` hrs still remaining in end of practice session.

Solution:

Given that

Time remaining before end of soccer practice in hours =
`(5)/(8)`

Time required for 1 full scoring drill =
`(1)/(6)`

Need to identify how many drills can be complete before practice is over.

For sake of simplicity lets make denominators of both the numbers same.

`(5)/(8)=(5)/(8) * (3)/(3)=(15)/(24)`

`(1)/(6)=(1)/(6) * (4)/(4)=(4)/(24)`

`(4)/(24)` is time for 1 drill

Lets say
`(4)/(24) = d`

Time remaining =
`(15)/(24) = (4 + 4 + 4+ 3)/(24) = (4)/(24) + (4)/(24) + (4)/(24) + (3)/(24) = d + d +d + (3)/(24)`

`(15)/(24) = 3d + (3)/(24)`

3d means three drills will be completed. Fourth drill will not complete because
`(3)/(24)` is not sufficient to complete a drill.

Hence mathematical representation of given situation is

`(5)/(8) = 3d + (1)/(8)`

Where d is the time required to complete one drill equal to
`(1)/(6)` of hour.

So three full scoring drill can be completed in
`(5)/(8)` hrs with
`(1)/(8)`hrs still remaining in end of practice session.