PSLE In a school, 40% of the members in Chess Club and 60% of the members in Literary Club are boys. Both clubs have the same number of girls. The Literary Club has 45 more boys than the Chess Club. How many boys are there altogether?
|
Chess Club |
Literary Club |
Types |
Boys |
Girls |
Boys |
Girls |
Comparing the boys and the girls in each club |
2x2 |
3x2 |
3x3 |
2x3 |
Comparing the girls 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 girls
= 1 -
25 =
35 60% =
60100 =
35 Fraction of the members in Literary club that are girls
= 1 -
35 =
25 The number of girls 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 boys in Literary Club than Chess Club
= 9 u - 4 u
= 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Total number of boys
= 4 u + 9 u
= 13 u
= 13 x 9
= 117
Answer(s): 117