At a carnival, the children were put into two groups. 34 of Group W were boys and 45 of Group X were girls. Group X had twice as many children as Group W. There were 70 fewer boys in Group W than Group X.
- 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 W |
Group X |
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 W is repeated. Make the number of children in Group W the same. LCM of 1 and 4 is 4.
The number of children in Group X is repeated. Make the number of children in Group X the same. LCM of 5 and 8 is 40.
BoysTotal =
15 + 820 + 40 =
2360 (b)
Number of fewer boys in Group W than Group X
= 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