QuestionAt a run festival, if $\frac{3}{11}$ of 1540 runners are women, how many women are there?

Studdy Solution

STEP 1

Assumptions1. The total number of runners is1540. The fraction of runners who are women is $\frac{3}{11}$

STEP 2

We need to find the number of women runners. We can do this by multiplying the total number of runners by the fraction of runners who are women.
$Number\, of\, women\, runners = Total\, number\, of\, runners \\times Fraction\, of\, runners\, who\, are\, women$

STEP 3

Now, plug in the given values for the total number of runners and the fraction of runners who are women to calculate the number of women runners.
$Number\, of\, women\, runners =1540 \\times \frac{3}{11}$

STEP 4

Calculate the number of women runners.
$Number\, of\, women\, runners =1540 \\times \frac{3}{11} =420$ There are420 women runners.

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