PSLE In a school, 40% of the members in Literary Club and 60% of the members in Chess Club are girls. Both clubs have the same number of boys. The Chess Club has 15 more girls than the Literary Club. How many girls are there altogether?
|
Literary Club |
Chess 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 Literary Club that are boys
= 1 -
25 =
35 60% =
60100 =
35 Fraction of the members in Chess 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 Literary Club =
2x35x3 of the members in Chess Club
610of the members in Literary Club =
615 of the members in Chess Club
Number of more girls in Chess Club than Literary Club
= 9 u - 4 u
= 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Total number of girls
= 4 u + 9 u
= 13 u
= 13 x 3
= 39
Answer(s): 39