PSLE In a school, 40% of the members in Computer Club and 75% of the members in Art Club are boys. Both clubs have the same number of girls. The Art Club has 56 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 |
2x1 |
3x1 |
3x3 |
1x3 |
Comparing the girls in 2 clubs |
|
1 |
|
1 |
|
2 u |
3 u |
9 u |
3 u |
40% =
40100 =
25 Fraction of the members in Computer Club that are girls
= 1 -
25 =
35 75% =
75100 =
34 Fraction of the members in Art club that are girls
= 1 -
34 =
14 The number of girls in both clubs is the same. Make the numerators the same. LCM of 3 and 1 is 3.
3x15x1 of the members in Computer Club =
1x34x3 of the members in Art Club
35of the members in Computer Club =
312 of the members in Art Club
Number of more boys in Art Club than Computer Club
= 9 u - 2 u
= 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
Total number of boys
= 2 u + 9 u
= 11 u
= 11 x 8
= 88
Answer(s): 88