PSLE In a school, 30% of the members in Computer Club and 40% of the members in Art Club are boys. Both clubs have the same number of girls. The Computer Club has 10 less boys than the Art Club. How many members are there in Art Club?
|
Computer Club |
Art Club |
Types |
Boys |
Girls |
Boys |
Girls |
Comparing the boys and the girls in each club |
3x3 |
7x3 |
2x7 |
3x7 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
9 u |
21 u |
14 u |
21 u |
30% =
30100 =
310 Fraction of the members in Computer Club that are girls
= 1 -
310 =
710 40% =
40100 =
25 Fraction of the members in Art club that are girls
= 1 -
25 =
35 The number of girls in both clubs is the same. Make the numerators the same. LCM of 7 and 3 is 21.
7x310x3 of the members in Computer Club =
3x75x7 of the members in Art Club
2130of the members in Computer Club =
2135 of the members in Art Club
Number of less boys in Computer Club than Art Club
= 14 u - 9 u
= 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Number of members in Art Club
= 35 u
= 35 x 2
= 70
Answer(s): 70