PSLE In a school, 45% of the members in Art Club and 50% of the members in Computer Club are boys. Both clubs have the same number of girls. The Computer Club has 10 more boys than the Art Club. How many boys are there altogether?
|
Art 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 Art 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 Art Club =
1x112x11 of the members in Computer Club
1120of the members in Art Club =
1122 of the members in Computer Club
Number of more boys in Computer Club than Art Club
= 11 u - 9 u
= 2 u
2 u = 10
1 u = 10 ÷ 2 = 5
Total number of boys
= 9 u + 11 u
= 20 u
= 20 x 5
= 100
Answer(s): 100