PSLE In a school, 40% of the members in Computer Club and 60% of the members in Art Club are girls. Both clubs have the same number of boys. The Computer Club has 35 less girls than the Art Club. How many members are there in Art Club?
|
Computer Club |
Art Club |
Types |
Girls |
Boys |
Girls |
Boys |
Comparing the girls and the boys in each club |
2x2 |
3x2 |
3x3 |
2x3 |
Comparing the boys in 2 clubs |
|
1 |
|
1 |
|
4 u |
6 u |
9 u |
6 u |
40% =
40100 =
25 Fraction of the members in Computer Club that are boys
= 1 -
25 =
35 60% =
60100 =
35 Fraction of the members in Art club that are boys
= 1 -
35 =
25 The number of boys in both clubs is the same. Make the numerators the same. LCM of 3 and 2 is 6.
3x25x2 of the members in Computer Club =
2x35x3 of the members in Art Club
610of the members in Computer Club =
615 of the members in Art Club
Number of less girls in Computer Club than Art Club
= 9 u - 4 u
= 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
Number of members in Art Club
= 15 u
= 15 x 7
= 105
Answer(s): 105