At a carnival, the children were put into two groups. 45 of Group D were boys and 34 of Group E were girls. Group E had twice as many children as Group D. There were 9 fewer boys in Group D than Group E.
- What fraction of the total number of children at the carnival were boys? Give your answer in the simplest form.
- What was the total number of children at the carnival?
Group D |
Group E |
Total |
1x5x2 = 10 u |
2x5x2 = 20 u |
3x5x2 = 30 u |
Boys |
Girls |
Boys |
Girls |
|
4x2 |
1x2 |
1x5 |
3x5 |
|
8 u |
2 u |
5 u |
15 u |
|
(a)
The number of children in Group D is repeated. Make the number of children in Group D the same. LCM of 1 and 5 is 5.
The number of children in Group E is repeated. Make the number of children in Group E the same. LCM of 4 and 10 is 20.
BoysTotal =
8 + 510 + 20 =
1330 (b)
Number of fewer boys in Group D than Group E
= 8 u - 5 u
= 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
Total number of children
= 30 x 3
= 90
Answer(s): (a)
1330; (b) 90