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

Answer:

Three full scoring drill can be completed in $\frac{5}{8}$ hrs with $\frac{1}{8}$ hrs still remaining in end of practice session.

Solution:

Given that  

Time remaining before end of soccer practice in hours = $\frac{5}{8}$

Time required for 1 full scoring drill = $\frac{1}{6}$

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.

$\frac{5}{8}=\frac{5}{8} \times \frac{3}{3}=\frac{15}{24}$

$\frac{1}{6}=\frac{1}{6} \times \frac{4}{4}=\frac{4}{24}$

$\frac{4}{24}$ is time for 1 drill

Lets say $\frac{4}{24} = d$

Time remaining = $\frac{15}{24} = \frac{4 + 4 + 4+ 3}{24} = \frac{4}{24} + \frac{4}{24} + \frac{4}{24} + \frac{3}{24} = d + d +d + \frac{3}{24}$

$\frac{15}{24} = 3d + \frac{3}{24}$

3d means three drills will be completed. Fourth drill will not complete because $\frac{3}{24}$ is not sufficient to complete  a drill.

Hence mathematical representation of given situation is  

$\frac{5}{8} = 3d + \frac{1}{8}$

Where d is the time required to complete one drill equal to $\frac{1}{6}$ of hour.  

So three full scoring drill can be completed in $\frac{5}{8}$ hrs with $\frac{1}{8}$hrs still remaining in end of practice session.