PSLE In a school, 40% of the members in Reading Club and 60% of the members in Drama Club are boys. Both clubs have the same number of girls. The Reading Club has 60 less boys than the Drama Club. How many members are there in Drama Club?
|
Reading Club |
Drama Club |
Types |
Boys |
Girls |
Boys |
Girls |
Comparing the boys and the girls in each club |
2x2 |
3x2 |
3x3 |
2x3 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
4 u |
6 u |
9 u |
6 u |
40% =
40100 =
25 Fraction of the members in Reading Club that are girls
= 1 -
25 =
35 60% =
60100 =
35 Fraction of the members in Drama club that are girls
= 1 -
35 =
25 The number of girls in both clubs is the same. Make the numerators the same. LCM of 3 and 2 is 6.
3x25x2 of the members in Reading Club =
2x35x3 of the members in Drama Club
610of the members in Reading Club =
615 of the members in Drama Club
Number of less boys in Reading Club than Drama Club
= 9 u - 4 u
= 5 u
5 u = 60
1 u = 60 ÷ 5 = 12
Number of members in Drama Club
= 15 u
= 15 x 12
= 180
Answer(s): 180