At a fitness club, 70% of the members are men and 30% of the members are women. If the average age of the men is 30 years and that of the women is 40 years, then what is the average age of all the members?
- A38 years
- B33 years
- C35 years
- D30 years
Solution & Step-by-step Explanation
Let the total number of members in the club be 100.
Number of men = 70
Number of women = 30
Total age of all men:
Total Age
men
=70×30=2100years
Total age of all women:
Total Age
women
=30×40=1200years
Total age of all members:
Total Age
total
=2100+1200=3300years
Average age of all members:
Average Age=
Total Members
Total Age
total
=
100
3300
=33years
Number of men = 70
Number of women = 30
Total age of all men:
Total Age
men
=70×30=2100years
Total age of all women:
Total Age
women
=30×40=1200years
Total age of all members:
Total Age
total
=2100+1200=3300years
Average age of all members:
Average Age=
Total Members
Total Age
total
=
100
3300
=33years