PSLE In a school, 40% 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 Reading Club has 70 more boys than the Fitness Club. How many boys are there altogether?
|
Fitness Club |
Reading Club |
Types |
Boys |
Girls |
Boys |
Girls |
Comparing the boys and the girls in each club |
2x1 |
3x1 |
3x3 |
1x3 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
2 u |
3 u |
9 u |
3 u |
40% =
40100 =
25 Fraction of the members in Fitness Club that are girls
= 1 -
25 =
35 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 3 and 1 is 3.
3x15x1 of the members in Fitness Club =
1x34x3 of the members in Reading Club
35of the members in Fitness Club =
312 of the members in Reading Club
Number of more boys in Reading Club than Fitness Club
= 9 u - 2 u
= 7 u
7 u = 70
1 u = 70 ÷ 7 = 10
Total number of boys
= 2 u + 9 u
= 11 u
= 11 x 10
= 110
Answer(s): 110