PSLE In a school, 70% of the members in Art Club and 80% of the members in Computer Club are girls. Both clubs have the same number of boys. The Computer Club has 25 more girls than the Art Club. How many girls are there altogether?
|
Art Club |
Computer Club |
Types |
Girls |
Boys |
Girls |
Boys |
Comparing the girls and the boys in each club |
7x1 |
3x1 |
4x3 |
1x3 |
Comparing the boys in 2 clubs |
|
1 |
|
1 |
|
7 u |
3 u |
12 u |
3 u |
70% =
70100 =
710 Fraction of the members in Art Club that are boys
= 1 -
710 =
310 80% =
80100 =
45 Fraction of the members in Computer club that are boys
= 1 -
45 =
15 The number of boys in both clubs is the same. Make the numerators the same. LCM of 3 and 1 is 3.
3x110x1 of the members in Art Club =
1x35x3 of the members in Computer Club
310of the members in Art Club =
315 of the members in Computer Club
Number of more girls in Computer Club than Art Club
= 12 u - 7 u
= 5 u
5 u = 25
1 u = 25 ÷ 5 = 5
Total number of girls
= 7 u + 12 u
= 19 u
= 19 x 5
= 95
Answer(s): 95