At a party, each man danced with exactly four women and each woman danced with exactly three men. Nine men attended the party. How many women attended the party?

Open in App

Solution

Dear student

$If each man danced with 4 women, then there will be total of 4 \times 9 = 36 pairs of man and woman . However each woman only danced with 3 man, so there must be \frac{36}{3} = 12 women$
Regards

Suggest Corrections

Similar questions

Q. Q. At a party each man danced with exactly four women and each women danced with exactly three men . Nine women attented the party .How many women attented the party?

Q. In a party, the ratio of men to women is

5 : 3

and there are

85

men. How many women must be present in the party ?

Q. At a party of married couples, each man shook hand with everyone except his spouse and no handshakes took place between women. If

13

married couples attended the party the number of handshakes among these

26

people was

Q. In a party there are

25

men and

20

women, then in how many ways a couple (one man with one woman) can be formed, when

2

particular men and

5

particular women refuse to be part of any couple?

There are 13 couples, 5 single men and 7 single women in party. Every man shakes hand with every woman once. But none shakes hand with his wife. How many handshakes in total took place in the party?

Join BYJU'S Learning Program

At a party, each man danced with exactly four women and each woman danced with exactly three men. Nine men attended the party. How many women attended the party?

Dear student If each man danced with 4 women, then there will be total of 4×9=36 pairsof man and woman .However each woman only danced with 3 man , so there must be 363=12 women Regards

Dear student

$If each man danced with 4 women, then there will be total of 4 \times 9 = 36 pairs of man and woman . However each woman only danced with 3 man, so there must be \frac{36}{3} = 12 women$
Regards