Answered

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20 runners were faster than Colby in a race. If 25% of the runners were faster than Colby, what was the total number of runners in the race? 75, 80, 45, 100

Sagot :

It is given that 20 runners were faster than Colby and that they were 25% of the runners.

It is required to find the total number of runners in the race.

Let the total number of runners be x.

Since 25% of the runners are 20 in number, it follows that:

[tex]\begin{gathered} 25\%\times x=20 \\ \Rightarrow\frac{25}{100}x=20 \\ \Rightarrow\frac{1}{4}x=20 \\ \text{ Multiply both sides by }4: \\ \Rightarrow4\times\frac{1}{4}x=4\times20 \\ \Rightarrow x=80 \end{gathered}[/tex]The total number of runners in the race is 80.
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