PSLE In a school, 60% of the members in Computer Club and 70% of the members in Art Club are boys. Both clubs have the same number of girls. The Art Club has 30 more boys than the Computer Club. How many boys are there altogether?
|
Computer Club |
Art Club |
Types |
Boys |
Girls |
Boys |
Girls |
Comparing the boys and the girls in each club |
3x3 |
2x3 |
7x2 |
3x2 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
9 u |
6 u |
14 u |
6 u |
60% =
60100 =
35 Fraction of the members in Computer Club that are girls
= 1 -
35 =
25 70% =
70100 =
710 Fraction of the members in Art club that are girls
= 1 -
710 =
310 The number of girls in both clubs is the same. Make the numerators the same. LCM of 2 and 3 is 6.
2x35x3 of the members in Computer Club =
3x210x2 of the members in Art Club
615of the members in Computer Club =
620 of the members in Art Club
Number of more boys in Art Club than Computer Club
= 14 u - 9 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Total number of boys
= 9 u + 14 u
= 23 u
= 23 x 6
= 138
Answer(s): 138