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?

Respuesta :

Answer:

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

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

Step-by-step 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 [tex]x+y = 87[/tex]

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

This means that [tex]y-x = 25[/tex]. So y = 25 + x

Replacing in the first equation

[tex]x+y = 87[/tex]

[tex]x+25+x = 87[/tex]

[tex]2x = 62[/tex]

[tex]x = 31[/tex]

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

[tex]y = 25 + x = 25 + 31 = 56[/tex]

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