PSLE In a school, 70% of the members in Art Club and 75% of the members in Computer Club are boys. Both clubs have the same number of girls. The Art Club has 6 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 |
7x1 |
3x1 |
3x3 |
1x3 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
7 u |
3 u |
9 u |
3 u |
70% =
70100 =
710 Fraction of the members in Art Club that are girls
= 1 -
710 =
310 75% =
75100 =
34 Fraction of the members in Computer club that are girls
= 1 -
34 =
14 The number of girls in both clubs is the same. Make the numerators the same. LCM of 3 and 1 is 3.
3x110x1 of the members in Art Club =
1x34x3 of the members in Computer Club
310of the members in Art Club =
312 of the members in Computer Club
Number of less boys in Art Club than Computer Club
= 9 u - 7 u
= 2 u
2 u = 6
1 u = 6 ÷ 2 = 3
Number of members in Computer Club
= 12 u
= 12 x 3
= 36
Answer(s): 36