PSLE In a school, 70% of the members in Chess Club and 80% of the members in Literary Club are boys. Both clubs have the same number of girls. The Chess Club has 55 less boys than the Literary Club. How many members are there in Literary Club?
|
Chess Club |
Literary Club |
Types |
Boys |
Girls |
Boys |
Girls |
Comparing the boys and the girls in each club |
7x1 |
3x1 |
4x3 |
1x3 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
7 u |
3 u |
12 u |
3 u |
70% =
70100 =
710 Fraction of the members in Chess Club that are girls
= 1 -
710 =
310 80% =
80100 =
45 Fraction of the members in Literary club that are girls
= 1 -
45 =
15 The number of girls in both clubs is the same. Make the numerators the same. LCM of 3 and 1 is 3.
3x110x1 of the members in Chess Club =
1x35x3 of the members in Literary Club
310of the members in Chess Club =
315 of the members in Literary Club
Number of less boys in Chess Club than Literary Club
= 12 u - 7 u
= 5 u
5 u = 55
1 u = 55 ÷ 5 = 11
Number of members in Literary Club
= 15 u
= 15 x 11
= 165
Answer(s): 165