PSLE In a school, 70% of the members in Chess Club and 75% of the members in Literary Club are girls. Both clubs have the same number of boys. The Literary Club has 14 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 |
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 Chess Club that are boys
= 1 -
710 =
310 75% =
75100 =
34 Fraction of the members in Literary 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 Chess Club =
1x34x3 of the members in Literary Club
310of the members in Chess Club =
312 of the members in Literary Club
Number of more girls in Literary Club than Chess Club
= 9 u - 7 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Total number of girls
= 7 u + 9 u
= 16 u
= 16 x 7
= 112
Answer(s): 112