PSLE In a school, 30% of the members in Dancing Club and 50% of the members in Singing Club are boys. Both clubs have the same number of girls. The Dancing Club has 32 less boys than the Singing Club. How many members are there in Singing Club?
|
Dancing Club |
Singing Club |
Types |
Boys |
Girls |
Boys |
Girls |
Comparing the boys and the girls in each club |
3x1 |
7x1 |
1x7 |
1x7 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
3 u |
7 u |
7 u |
7 u |
30% =
30100 =
310 Fraction of the members in Dancing Club that are girls
= 1 -
310 =
710 50% =
50100 =
12 Fraction of the members in Singing club that are girls
= 1 -
12 =
12 The number of girls in both clubs is the same. Make the numerators the same. LCM of 7 and 1 is 7.
7x110x1 of the members in Dancing Club =
1x72x7 of the members in Singing Club
710of the members in Dancing Club =
714 of the members in Singing Club
Number of less boys in Dancing Club than Singing Club
= 7 u - 3 u
= 4 u
4 u = 32
1 u = 32 ÷ 4 = 8
Number of members in Singing Club
= 14 u
= 14 x 8
= 112
Answer(s): 112