PSLE In a school, 30% of the members in Reading Club and 40% of the members in Drama Club are girls. Both clubs have the same number of boys. The Reading Club has 15 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 |
3x3 |
7x3 |
2x7 |
3x7 |
Comparing the boys in 2 clubs |
|
1 |
|
1 |
|
9 u |
21 u |
14 u |
21 u |
30% =
30100 =
310 Fraction of the members in Reading Club that are boys
= 1 -
310 =
710 40% =
40100 =
25 Fraction of the members in Drama club that are boys
= 1 -
25 =
35 The number of boys in both clubs is the same. Make the numerators the same. LCM of 7 and 3 is 21.
7x310x3 of the members in Reading Club =
3x75x7 of the members in Drama Club
2130of the members in Reading Club =
2135 of the members in Drama Club
Number of less girls in Reading Club than Drama Club
= 14 u - 9 u
= 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Number of members in Drama Club
= 35 u
= 35 x 3
= 105
Answer(s): 105