PSLE In a school, 30% of the members in Reading Club and 50% of the members in Drama Club are boys. Both clubs have the same number of girls. The Drama Club has 20 more boys than the Reading Club. How many boys are there altogether?
|
Reading Club |
Drama Club |
Types |
Boys |
Girls |
Boys |
Girls |
Comparing the boys and the girls in each club |
3x1 |
7x1 |
1x7 |
1x7 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
3 u |
7 u |
7 u |
7 u |
30% =
30100 =
310 Fraction of the members in Reading Club that are girls
= 1 -
310 =
710 50% =
50100 =
12 Fraction of the members in Drama club that are girls
= 1 -
12 =
12 The number of girls in both clubs is the same. Make the numerators the same. LCM of 7 and 1 is 7.
7x110x1 of the members in Reading Club =
1x72x7 of the members in Drama Club
710of the members in Reading Club =
714 of the members in Drama Club
Number of more boys in Drama Club than Reading Club
= 7 u - 3 u
= 4 u
4 u = 20
1 u = 20 ÷ 4 = 5
Total number of boys
= 3 u + 7 u
= 10 u
= 10 x 5
= 50
Answer(s): 50