PSLE In a school, 30% of the members in Chess Club and 50% of the members in Literary Club are girls. Both clubs have the same number of boys. The Chess Club has 16 less girls than the Literary Club. How many members are there in Literary Club?
|
Chess Club |
Literary 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 Chess Club that are boys
= 1 -
310 =
710 50% =
50100 =
12 Fraction of the members in Literary 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 Chess Club =
1x72x7 of the members in Literary Club
710of the members in Chess Club =
714 of the members in Literary Club
Number of less girls in Chess Club than Literary Club
= 7 u - 3 u
= 4 u
4 u = 16
1 u = 16 ÷ 4 = 4
Number of members in Literary Club
= 14 u
= 14 x 4
= 56
Answer(s): 56