At a carnival, the children were put into two groups. 34 of Group P were girls and 45 of Group Q were boys. Group Q had twice as many children as Group P. There were 70 fewer girls in Group P than Group Q.
- 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 P |
Group Q |
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 P is repeated. Make the number of children in Group P the same. LCM of 1 and 4 is 4.
The number of children in Group Q is repeated. Make the number of children in Group Q the same. LCM of 5 and 8 is 40.
GirlsTotal =
15 + 820 + 40 =
2360 (b)
Number of fewer girls in Group P than Group Q
= 15 u - 8 u
= 7 u
7 u = 70
1 u = 70 ÷ 7 = 10
Total number of children
= 60 u
= 60 x 10
= 600
Answer(s): (a)
2360; (b) 600