PSLE In a school, 45% of the members in Singing Club and 50% of the members in Dancing Club are boys. Both clubs have the same number of girls. The Singing Club has 4 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 |
9x1 |
11x1 |
1x11 |
1x11 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
9 u |
11 u |
11 u |
11 u |
45% =
45100 =
920 Fraction of the members in Singing Club that are girls
= 1 -
920 =
1120 50% =
50100 =
12 Fraction of the members in Dancing club that are girls
= 1 -
12 =
12 The number of girls in both clubs is the same. Make the numerators the same. LCM of 11 and 1 is 11.
11x120x1 of the members in Singing Club =
1x112x11 of the members in Dancing Club
1120of the members in Singing Club =
1122 of the members in Dancing Club
Number of less boys in Singing Club than Dancing Club
= 11 u - 9 u
= 2 u
2 u = 4
1 u = 4 ÷ 2 = 2
Number of members in Dancing Club
= 22 u
= 22 x 2
= 44
Answer(s): 44