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.