PSLE In a school, 30% of the members in Drama Club and 50% of the members in Reading Club are girls. Both clubs have the same number of boys. The Drama Club has 16 less girls than the Reading Club. How many members are there in Reading Club?
|
Drama Club |
Reading Club |
Types |
Girls |
Boys |
Girls |
Boys |
Comparing the girls and the boys in each club |
3x1 |
7x1 |
1x7 |
1x7 |
Comparing the boys in 2 clubs |
|
1 |
|
1 |
|
3 u |
7 u |
7 u |
7 u |
30% =
30100 =
310 Fraction of the members in Drama Club that are boys
= 1 -
310 =
710 50% =
50100 =
12 Fraction of the members in Reading club that are boys
= 1 -
12 =
12 The number of boys in both clubs is the same. Make the numerators the same. LCM of 7 and 1 is 7.
7x110x1 of the members in Drama Club =
1x72x7 of the members in Reading Club
710of the members in Drama Club =
714 of the members in Reading Club
Number of less girls in Drama Club than Reading Club
= 7 u - 3 u
= 4 u
4 u = 16
1 u = 16 ÷ 4 = 4
Number of members in Reading Club
= 14 u
= 14 x 4
= 56
Answer(s): 56