PSLE In a school, 40% of the members in Chess Club and 60% of the members in Literary Club are girls. Both clubs have the same number of boys. The Literary Club has 30 more girls than the Chess Club. How many girls are there altogether?
|
Chess Club |
Literary Club |
Types |
Girls |
Boys |
Girls |
Boys |
Comparing the girls and the boys in each club |
2x2 |
3x2 |
3x3 |
2x3 |
Comparing the boys in 2 clubs |
|
1 |
|
1 |
|
4 u |
6 u |
9 u |
6 u |
40% =
40100 =
25 Fraction of the members in Chess Club that are boys
= 1 -
25 =
35 60% =
60100 =
35 Fraction of the members in Literary club that are boys
= 1 -
35 =
25 The number of boys in both clubs is the same. Make the numerators the same. LCM of 3 and 2 is 6.
3x25x2 of the members in Chess Club =
2x35x3 of the members in Literary Club
610of the members in Chess Club =
615 of the members in Literary Club
Number of more girls in Literary Club than Chess Club
= 9 u - 4 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Total number of girls
= 4 u + 9 u
= 13 u
= 13 x 6
= 78
Answer(s): 78