PSLE In a school, 60% of the members in Literary Club and 90% of the members in Chess Club are boys. Both clubs have the same number of girls. The Literary Club has 60 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 |
3x1 |
2x1 |
9x2 |
1x2 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
3 u |
2 u |
18 u |
2 u |
60% =
60100 =
35 Fraction of the members in Literary Club that are girls
= 1 -
35 =
25 90% =
90100 =
910 Fraction of the members in Chess club that are girls
= 1 -
910 =
110 The number of girls in both clubs is the same. Make the numerators the same. LCM of 2 and 1 is 2.
2x15x1 of the members in Literary Club =
1x210x2 of the members in Chess Club
25of the members in Literary Club =
220 of the members in Chess Club
Number of less boys in Literary Club than Chess Club
= 18 u - 3 u
= 15 u
15 u = 60
1 u = 60 ÷ 15 = 4
Number of members in Chess Club
= 20 u
= 20 x 4
= 80
Answer(s): 80