Question

The number of men in a tour group is 15 times the number of women. If there are 48 people in the group, how many are men?

Answer 1

45

Explanation:

Given : The number of men in a tour group is 15 times the number of women.

To Find: If there are 48 people in the group, how many are men?

Solution:

Let the number of women be x

Now we are given that number of men in a tour group is 15 times the number of women.

So, no. of men = 15x

Now we are given that there are 48 people .

So,
`x+15x=48`

`16x=48`

`x=(48)/(16)`

`x=3`

Thus number of women = 3

Number of men =
`15 * 3 = 45`

Hence there are 45 men.

Answer 2

Let the number of women be x, then the number of men is 15x.
x + 15x = 48
16x = 48
x = 48/16 = 3

Therefore, the number of men = 15(3) = 45