PSLE In a school, 40% of the members in Literary Club and 45% of the members in Chess Club are girls. Both clubs have the same number of boys. The Chess Club has 20 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 |
2x11 |
3x11 |
9x3 |
11x3 |
Comparing the boys in 2 clubs |
|
1 |
|
1 |
|
22 u |
33 u |
27 u |
33 u |
40% =
40100 =
25 Fraction of the members in Literary Club that are boys
= 1 -
25 =
35 45% =
45100 =
920 Fraction of the members in Chess club that are boys
= 1 -
920 =
1120 The number of boys in both clubs is the same. Make the numerators the same. LCM of 3 and 11 is 33.
3x115x11 of the members in Literary Club =
11x320x3 of the members in Chess Club
3355of the members in Literary Club =
3360 of the members in Chess Club
Number of more girls in Chess Club than Literary Club
= 27 u - 22 u
= 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
Total number of girls
= 22 u + 27 u
= 49 u
= 49 x 4
= 196
Answer(s): 196