Question

6. The number of women in a race is 25 times the number of men. If there are 234 people in the race, how many are women?

Answer 1

There are 225 women in the race.

Step-by-step explanation:

Total people in the race = 234

Let,

x represents the number of women in race.

y represents the number of men in race.

According to given statement;

x+y=234     Eqn 1

x=25y         Eqn 2

Putting x=25y in Eqn 1

$25y+y=234\\26y=234$

Dividing both sides by 26

$\frac{26y}{26}=\frac{234}{26}\\y=9$

Putting y=9 in Eqn 2

$x=25(9)\\x=225$

There are 225 women in the race.

Keywords: linear equation, substitution method

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