At a carnival, the children were put into two groups. 34 of Group K were girls and 45 of Group L were boys. Group L had twice as many children as Group K. There were 28 fewer girls in Group K than Group L.
- What fraction of the total number of children at the carnival were girls? Give your answer in the simplest form.
- What was the total number of children at the carnival?
| Group K |
Group L |
Total |
1x4x5 =
20 u |
2x4x5 =
40 u |
3x4x5 =
60 u |
| Girls |
Boys |
Girls |
Boys |
|
| 3x5 |
1x5 |
1x8 |
4x8 |
|
| 15 u |
5 u |
8 u |
32 u |
|
(a)
The number of children in Group K is repeated. Make the number of children in Group K the same. LCM of 1 and 4 is 4.
The number of children in Group L is repeated. Make the number of children in Group L the same. LCM of 5 and 8 is 40.
GirlsTotal =
15 + 820 + 40 =
2360 (b)
Number of fewer girls in Group K than Group L
= 15 u - 8 u
= 7 u
7 u = 28
1 u = 28 ÷ 7 = 4
Total number of children
= 60 u
= 60 x 4
= 240
Answer(s): (a)
2360; (b) 240
