PSLE In a school, 45% of the members in Reading Club and 75% of the members in Drama Club are girls. Both clubs have the same number of boys. The Reading Club has 96 less girls than the Drama Club. How many members are there in Drama Club?
|
Reading Club |
Drama Club |
Types |
Girls |
Boys |
Girls |
Boys |
Comparing the girls and the boys in each club |
9x1 |
11x1 |
3x11 |
1x11 |
Comparing the boys in 2 clubs |
|
1 |
|
1 |
|
9 u |
11 u |
33 u |
11 u |
45% =
45100 =
920 Fraction of the members in Reading Club that are boys
= 1 -
920 =
1120 75% =
75100 =
34 Fraction of the members in Drama club that are boys
= 1 -
34 =
14 The number of boys in both clubs is the same. Make the numerators the same. LCM of 11 and 1 is 11.
11x120x1 of the members in Reading Club =
1x114x11 of the members in Drama Club
1120of the members in Reading Club =
1144 of the members in Drama Club
Number of less girls in Reading Club than Drama Club
= 33 u - 9 u
= 24 u
24 u = 96
1 u = 96 ÷ 24 = 4
Number of members in Drama Club
= 44 u
= 44 x 4
= 176
Answer(s): 176