PSLE In a school, 70% of the members in Literary Club and 75% of the members in Chess Club are girls. Both clubs have the same number of boys. The Chess Club has 24 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 |
7x1 |
3x1 |
3x3 |
1x3 |
Comparing the boys in 2 clubs |
|
1 |
|
1 |
|
7 u |
3 u |
9 u |
3 u |
70% =
70100 =
710 Fraction of the members in Literary Club that are boys
= 1 -
710 =
310 75% =
75100 =
34 Fraction of the members in Chess club that are boys
= 1 -
34 =
14 The number of boys in both clubs is the same. Make the numerators the same. LCM of 3 and 1 is 3.
3x110x1 of the members in Literary Club =
1x34x3 of the members in Chess Club
310of the members in Literary Club =
312 of the members in Chess Club
Number of more girls in Chess Club than Literary Club
= 9 u - 7 u
= 2 u
2 u = 24
1 u = 24 ÷ 2 = 12
Total number of girls
= 7 u + 9 u
= 16 u
= 16 x 12
= 192
Answer(s): 192