PSLE In a school, 30% of the members in Chess Club and 50% of the members in Literary Club are boys. Both clubs have the same number of girls. The Literary Club has 8 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 |
3x1 |
7x1 |
1x7 |
1x7 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
3 u |
7 u |
7 u |
7 u |
30% =
30100 =
310 Fraction of the members in Chess Club that are girls
= 1 -
310 =
710 50% =
50100 =
12 Fraction of the members in Literary club that are girls
= 1 -
12 =
12 The number of girls in both clubs is the same. Make the numerators the same. LCM of 7 and 1 is 7.
7x110x1 of the members in Chess Club =
1x72x7 of the members in Literary Club
710of the members in Chess Club =
714 of the members in Literary Club
Number of more boys in Literary Club than Chess Club
= 7 u - 3 u
= 4 u
4 u = 8
1 u = 8 ÷ 4 = 2
Total number of boys
= 3 u + 7 u
= 10 u
= 10 x 2
= 20
Answer(s): 20