PSLE In a school, 60% of the members in Drama Club and 90% of the members in Reading Club are girls. Both clubs have the same number of boys. The Reading Club has 135 more girls than the Drama Club. How many girls are there altogether?
|
Drama Club |
Reading Club |
Types |
Girls |
Boys |
Girls |
Boys |
Comparing the girls and the boys in each club |
3x1 |
2x1 |
9x2 |
1x2 |
Comparing the boys in 2 clubs |
|
1 |
|
1 |
|
3 u |
2 u |
18 u |
2 u |
60% =
60100 =
35 Fraction of the members in Drama Club that are boys
= 1 -
35 =
25 90% =
90100 =
910 Fraction of the members in Reading club that are boys
= 1 -
910 =
110 The number of boys in both clubs is the same. Make the numerators the same. LCM of 2 and 1 is 2.
2x15x1 of the members in Drama Club =
1x210x2 of the members in Reading Club
25of the members in Drama Club =
220 of the members in Reading Club
Number of more girls in Reading Club than Drama Club
= 18 u - 3 u
= 15 u
15 u = 135
1 u = 135 ÷ 15 = 9
Total number of girls
= 3 u + 18 u
= 21 u
= 21 x 9
= 189
Answer(s): 189