What is the total number of girls?

### Question Asked by a Student from EXXAMM.com Team

The ratio of girls to boys opting for any single activity is 4:5. Number of boys opting for both singing and dancing but not acting is 50% more than the girls opting for both singing and dancing but not acting. Number of girls opting for both acting and dancing but not singing is half of the boys opting for both singing and acting but not dancing and thrice as the number of boys opting for both acting and dancing but not singing. The total number of boys is 4123. The number of boys who opt for only singing is 800. Number of girls opting for both singing and acting but not dancing is 1/4th of the number of girls for only singing. Number of girls opting for both singing and dancing but not acting is 20% more than the girls opting for both singing and acting but not dancing. Number of boys who opt for only acting is 1250. Number of girls who opt for all the three activities is 1/3rd of the number of difference of number of number of girls opting for only acting and the one opting for only singing. The number of girls opting for both acting and dancing but not singing is twice the number of girls opting for all the three activities. Number of boys opting for only dancing is 175 less than the number of boys opting for only acting. It is known that everyone opts for at least one activity.
What is the total number of girls?
IBPS-PO 2017 Mock Mains
A

3212

B

3594

C

5645

D

5188

E

4878

#### HINT

(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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