PSLE In a school, 45% of the members in Literary Club and 50% of the members in Chess Club are boys. Both clubs have the same number of girls. The Literary Club has 12 less boys than the Chess Club. How many members are there in Chess Club?
|
Literary Club |
Chess Club |
Types |
Boys |
Girls |
Boys |
Girls |
Comparing the boys and the girls in each club |
9x1 |
11x1 |
1x11 |
1x11 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
9 u |
11 u |
11 u |
11 u |
45% =
45100 =
920 Fraction of the members in Literary Club that are girls
= 1 -
920 =
1120 50% =
50100 =
12 Fraction of the members in Chess club that are girls
= 1 -
12 =
12 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 Literary Club =
1x112x11 of the members in Chess Club
1120of the members in Literary Club =
1122 of the members in Chess Club
Number of less boys in Literary Club than Chess Club
= 11 u - 9 u
= 2 u
2 u = 12
1 u = 12 ÷ 2 = 6
Number of members in Chess Club
= 22 u
= 22 x 6
= 132
Answer(s): 132