PSLE In a school, 30% of the members in Reading Club and 60% 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 |
3x2 |
7x2 |
3x7 |
2x7 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
6 u |
14 u |
21 u |
14 u |
30% =
30100 =
310 Fraction of the members in Reading Club that are girls
= 1 -
310 =
710 60% =
60100 =
35 Fraction of the members in Computer club that are girls
= 1 -
35 =
25 The number of girls in both clubs is the same. Make the numerators the same. LCM of 7 and 2 is 14.
7x210x2 of the members in Reading Club =
2x75x7 of the members in Computer Club
1420of the members in Reading Club =
1435 of the members in Computer Club
Number of more boys in Computer Club than Reading Club
= 21 u - 6 u
= 15 u
15 u = 30
1 u = 30 ÷ 15 = 2
Total number of boys
= 6 u + 21 u
= 27 u
= 27 x 2
= 54
Answer(s): 54