PSLE In a school, 45% of the members in Reading Club and 50% of the members in Computer Club are boys. Both clubs have the same number of girls. The Computer Club has 8 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 |
9x1 |
11x1 |
1x11 |
1x11 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
9 u |
11 u |
11 u |
11 u |
45% =
45100 =
920 Fraction of the members in Reading Club that are girls
= 1 -
920 =
1120 50% =
50100 =
12 Fraction of the members in Computer club that are girls
= 1 -
12 =
12 The number of girls in both clubs is the same. Make the numerators the same. LCM of 11 and 1 is 11.
11x120x1 of the members in Reading Club =
1x112x11 of the members in Computer Club
1120of the members in Reading Club =
1122 of the members in Computer Club
Number of more boys in Computer Club than Reading Club
= 11 u - 9 u
= 2 u
2 u = 8
1 u = 8 ÷ 2 = 4
Total number of boys
= 9 u + 11 u
= 20 u
= 20 x 4
= 80
Answer(s): 80