PSLE In a school, 60% of the members in Reading Club and 70% of the members in Computer Club are boys. Both clubs have the same number of girls. The Computer Club has 30 more boys than the Reading Club. How many boys are there altogether?
|
Reading Club |
Computer Club |
Types |
Boys |
Girls |
Boys |
Girls |
Comparing the boys and the girls in each club |
3x3 |
2x3 |
7x2 |
3x2 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
9 u |
6 u |
14 u |
6 u |
60% =
60100 =
35 Fraction of the members in Reading Club that are girls
= 1 -
35 =
25 70% =
70100 =
710 Fraction of the members in Computer club that are girls
= 1 -
710 =
310 The number of girls in both clubs is the same. Make the numerators the same. LCM of 2 and 3 is 6.
2x35x3 of the members in Reading Club =
3x210x2 of the members in Computer Club
615of the members in Reading Club =
620 of the members in Computer Club
Number of more boys in Computer Club than Reading Club
= 14 u - 9 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Total number of boys
= 9 u + 14 u
= 23 u
= 23 x 6
= 138
Answer(s): 138