PSLE In a school, 30% 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 Art Club has 36 less boys than the Computer Club. How many members are there in Computer Club?
|
Art Club |
Computer 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 Art Club that are girls
= 1 -
310 =
710 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 7 and 1 is 7.
7x110x1 of the members in Art Club =
1x72x7 of the members in Computer Club
710of the members in Art Club =
714 of the members in Computer Club
Number of less boys in Art Club than Computer Club
= 7 u - 3 u
= 4 u
4 u = 36
1 u = 36 ÷ 4 = 9
Number of members in Computer Club
= 14 u
= 14 x 9
= 126
Answer(s): 126