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Zepler [3.9K]
3 years ago
5

90% of runners in a marathon successfully completed it. 30% of these runners were men. How many total runners began the marathon

if 270 men completed it?
English
1 answer:
Semmy [17]3 years ago
7 0

The total runners who began the marathon is 1000

<u>Explanation:</u>

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 = \frac{90}{100} X x

                                                                 = 0.9x

and,

\frac{30}{100} X 0.9 x = 270

Solving further:

0.9x = \frac{270 X 100}{30} \\\\x = \frac{270 X 100}{30 X 0.9} \\\\x = 1000

Therefore, total runners who began the marathon is 1000

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