The total runners who began the marathon is 1000
Explanation:
Given:
Runners who completed the marathon = 90%
Men = 30%
Number of men completed the marathon = 270
Total runners who began the marathon = ?
Let the total runners be x
According to question:
Runners who completed the marathon = [tex]\frac{90}{100} X x[/tex]
= 0.9x
and,
[tex]\frac{30}{100} X 0.9 x = 270[/tex]
Solving further:
[tex]0.9x = \frac{270 X 100}{30} \\\\x = \frac{270 X 100}{30 X 0.9} \\\\x = 1000[/tex]
Therefore, total runners who began the marathon is 1000
