Question

Each day the sum of the average time spent on grooming for 20-24 year old women and men is 87 minutes. The difference between grooming time for 20-24 year old women and men is 25 minutes. How many minutes per day do 20-24 year old women and men spend on grooming?

Answer 1

The average grooming time for men is 31 minutes a day.

The average grooming time for women is 56 minutes a day.

Explanation:

This question can be solved by a system of equations:

I am going to say that x is the grooming time for men and y is the grooming time for women.

Each day the sum of the average time spent on grooming for 20-24 year old women and men is 87 minutes.

This means that
`x+y = 87`

The difference between grooming time for 20-24 year old women and men is 25 minutes.

This means that
`y-x = 25`. So y = 25 + x

Replacing in the first equation

`x+y = 87`

`x+25+x = 87`

`2x = 62`

`x = 31`

The average grooming time for men is 31 minutes a day.

`y = 25 + x = 25 + 31 = 56`

The average grooming time for women is 56 minutes a day.