Question

There are 2 3/5 times as many men as women in a bus travelling to Goa. If there are 54 passengers in the bus, how many of them are men?

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

There are 39 men in a total of 54 passengers. Number of men = 39.

Explanation:

• Given that there are $2\frac{3}{5}$ times as many men as women in a bus travelling to Goa. In total there are 54 passengers in the bus.

• We want to find the number of men in the bus. That is among 54 passengers how many of them are men.
• From the given data; we know that $2\frac{3}{5}$ times of number of women are equal to the number of men present in the bus.
• Let us assume that the number of women = $x$
• Then, the number of men = $2\frac{3}{5}$ × $x$
• Convert the mixed fraction into a normal fraction. i.e., $2\frac{3}{5}$ = $\frac{13}{5}$

Number of women = $x$

Number of men = $\frac{13x}{5}$

• Total number of passengers in the bus = $x$ +$\frac{13x}{5}$ = 54

⇒ $\frac{18x}{5}$ = 54

⇒ $18x$ = 270

⇒ $x$ = $\frac{270}{18}$

⇒ $x$ = 15

• Hence got the value of $x$ = Number of women.
• Now, we have to find out the number of men = $\frac{13x}{5}$

⇒ $\frac{13x}{5}$ = $\frac{13}{5}$ × 15 = 39.

• Therefore, the number of men = 39.

• There are 39 men in a total of 54 passengers.

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