PSLE In a school, 60% of the members in Dancing Club and 90% of the members in Singing Club are girls. Both clubs have the same number of boys. The Dancing Club has 135 less girls than the Singing Club. How many members are there in Singing Club?
|
Dancing Club |
Singing Club |
Types |
Girls |
Boys |
Girls |
Boys |
Comparing the girls and the boys in each club |
3x1 |
2x1 |
9x2 |
1x2 |
Comparing the boys in 2 clubs |
|
1 |
|
1 |
|
3 u |
2 u |
18 u |
2 u |
60% =
60100 =
35 Fraction of the members in Dancing Club that are boys
= 1 -
35 =
25 90% =
90100 =
910 Fraction of the members in Singing club that are boys
= 1 -
910 =
110 The number of boys in both clubs is the same. Make the numerators the same. LCM of 2 and 1 is 2.
2x15x1 of the members in Dancing Club =
1x210x2 of the members in Singing Club
25of the members in Dancing Club =
220 of the members in Singing Club
Number of less girls in Dancing Club than Singing Club
= 18 u - 3 u
= 15 u
15 u = 135
1 u = 135 ÷ 15 = 9
Number of members in Singing Club
= 20 u
= 20 x 9
= 180
Answer(s): 180