PSLE In a school, 30% of the members in Reading Club and 45% of the members in Computer Club are girls. Both clubs have the same number of boys. The Computer Club has 60 more girls than the Reading Club. How many girls are there altogether?
|
Reading Club |
Computer Club |
Types |
Girls |
Boys |
Girls |
Boys |
Comparing the girls and the boys in each club |
3x11 |
7x11 |
9x7 |
11x7 |
Comparing the boys in 2 clubs |
|
1 |
|
1 |
|
33 u |
77 u |
63 u |
77 u |
30% =
30100 =
310 Fraction of the members in Reading Club that are boys
= 1 -
310 =
710 45% =
45100 =
920 Fraction of the members in Computer club that are boys
= 1 -
920 =
1120 The number of boys in both clubs is the same. Make the numerators the same. LCM of 7 and 11 is 77.
7x1110x11 of the members in Reading Club =
11x720x7 of the members in Computer Club
77110of the members in Reading Club =
77140 of the members in Computer Club
Number of more girls in Computer Club than Reading Club
= 63 u - 33 u
= 30 u
30 u = 60
1 u = 60 ÷ 30 = 2
Total number of girls
= 33 u + 63 u
= 96 u
= 96 x 2
= 192
Answer(s): 192