PSLE In a school, 60% of the members in Fitness Club and 75% of the members in Reading Club are boys. Both clubs have the same number of girls. The Fitness Club has 24 less boys than the Reading Club. How many members are there in Reading Club?
|
Fitness Club |
Reading Club |
Types |
Boys |
Girls |
Boys |
Girls |
Comparing the boys and the girls in each club |
3x1 |
2x1 |
3x2 |
1x2 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
3 u |
2 u |
6 u |
2 u |
60% =
60100 =
35 Fraction of the members in Fitness Club that are girls
= 1 -
35 =
25 75% =
75100 =
34 Fraction of the members in Reading club that are girls
= 1 -
34 =
14 The number of girls in both clubs is the same. Make the numerators the same. LCM of 2 and 1 is 2.
2x15x1 of the members in Fitness Club =
1x24x2 of the members in Reading Club
25of the members in Fitness Club =
28 of the members in Reading Club
Number of less boys in Fitness Club than Reading Club
= 6 u - 3 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Number of members in Reading Club
= 8 u
= 8 x 8
= 64
Answer(s): 64