PSLE In a school, 60% of the members in Singing Club and 70% of the members in Dancing Club are boys. Both clubs have the same number of girls. The Singing Club has 40 less boys than the Dancing Club. How many members are there in Dancing Club?
|
Singing Club |
Dancing Club |
Types |
Boys |
Girls |
Boys |
Girls |
Comparing the boys and the girls in each club |
3x3 |
2x3 |
7x2 |
3x2 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
9 u |
6 u |
14 u |
6 u |
60% =
60100 =
35 Fraction of the members in Singing Club that are girls
= 1 -
35 =
25 70% =
70100 =
710 Fraction of the members in Dancing club that are girls
= 1 -
710 =
310 The number of girls in both clubs is the same. Make the numerators the same. LCM of 2 and 3 is 6.
2x35x3 of the members in Singing Club =
3x210x2 of the members in Dancing Club
615of the members in Singing Club =
620 of the members in Dancing Club
Number of less boys in Singing Club than Dancing Club
= 14 u - 9 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
Number of members in Dancing Club
= 20 u
= 20 x 8
= 160
Answer(s): 160