At a carnival, the children were put into two groups. 34 of Group U were boys and 45 of Group V were girls. Group V had twice as many children as Group U. There were 56 fewer boys in Group U than Group V.
- 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 U |
Group V |
Total |
1x4x5 = 20 u |
2x4x5 = 40 u |
3x4x5 = 60 u |
Boys |
Girls |
Boys |
Girls |
|
3x5 |
1x5 |
1x8 |
4x8 |
|
15 u |
5 u |
8 u |
32 u |
|
(a)
The number of children in Group U is repeated. Make the number of children in Group U the same. LCM of 1 and 4 is 4.
The number of children in Group V is repeated. Make the number of children in Group V the same. LCM of 5 and 8 is 40.
BoysTotal =
15 + 820 + 40 =
2360 (b)
Number of fewer boys in Group U than Group V
= 15 u - 8 u
= 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
Total number of children
= 60 u
= 60 x 8
= 480
Answer(s): (a)
2360; (b) 480