At a carnival, the children were put into two groups. 45 of Group E were girls and 23 of Group F were boys. Group F had twice as many children as Group E. There were 20 fewer girls in Group E than Group F.
- 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 E |
Group F |
Total |
1x5x3 = 15 u |
2x5x3 = 30 u |
3x5x3 = 45 u |
Girls |
Boys |
Girls |
Boys |
|
4x3 |
1x3 |
1x10 |
2x10 |
|
12 u |
3 u |
10 u |
20 u |
|
(a)
The number of children in Group E is repeated. Make the number of children in Group E the same. LCM of 1 and 5 is 5.
The number of children in Group F is repeated. Make the number of children in Group F the same. LCM of 3 and 10 is 30.
GirlsTotal =
12 + 1015 + 30 =
2245 (b)
Number of fewer girls in Group E than Group F
= 12 u - 10 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Total number of children
= 45 x 10
= 450
Answer(s): (a)
2245; (b) 450