PSLE In a school, 50% of the members in Dancing Club and 70% of the members in Singing Club are boys. Both clubs have the same number of girls. The Singing Club has 24 more boys than the Dancing Club. How many boys are there altogether?
|
Dancing Club |
Singing Club |
Types |
Boys |
Girls |
Boys |
Girls |
Comparing the boys and the girls in each club |
1x3 |
1x3 |
7x1 |
3x1 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
3 u |
3 u |
7 u |
3 u |
50% =
50100 =
12 Fraction of the members in Dancing Club that are girls
= 1 -
12 =
12 70% =
70100 =
710 Fraction of the members in Singing club that are girls
= 1 -
710 =
310 The number of girls in both clubs is the same. Make the numerators the same. LCM of 1 and 3 is 3.
1x32x3 of the members in Dancing Club =
3x110x1 of the members in Singing Club
36of the members in Dancing Club =
310 of the members in Singing Club
Number of more boys in Singing Club than Dancing Club
= 7 u - 3 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Total number of boys
= 3 u + 7 u
= 10 u
= 10 x 6
= 60
Answer(s): 60