PSLE In a school, 45% of the members in Drama Club and 75% of the members in Reading Club are boys. Both clubs have the same number of girls. The Drama Club has 48 less boys than the Reading Club. How many members are there in Reading Club?
|
Drama Club |
Reading Club |
Types |
Boys |
Girls |
Boys |
Girls |
Comparing the boys and the girls in each club |
9x1 |
11x1 |
3x11 |
1x11 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
9 u |
11 u |
33 u |
11 u |
45% =
45100 =
920 Fraction of the members in Drama Club that are girls
= 1 -
920 =
1120 75% =
75100 =
34 Fraction of the members in Reading club that are girls
= 1 -
34 =
14 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 Drama Club =
1x114x11 of the members in Reading Club
1120of the members in Drama Club =
1144 of the members in Reading Club
Number of less boys in Drama Club than Reading Club
= 33 u - 9 u
= 24 u
24 u = 48
1 u = 48 ÷ 24 = 2
Number of members in Reading Club
= 44 u
= 44 x 2
= 88
Answer(s): 88