Victoria had some kiwis and oranges in 2 containers. In Container G, the number of kiwis to the number of oranges was in the ratio of 4 : 9. In Container H, there were twice as many kiwis as oranges. After Victoria transferred
13 of the oranges from Container G to Container H, the number of fruits left in Container G was 190 and the ratio of the number of kiwis to the number of oranges in Container B became 4 : 5. How many fruits were in Container H in the end?
|
Container G |
Container H |
|
Kiwis |
Oranges |
Kiwis |
Oranges |
Before |
4 u |
9 u |
2x2 = 4 p |
1x2 = 2 p |
Change |
|
- 3 u |
|
+ 3 u (+ 3 p) |
After |
4 u |
6 u |
4x1 = 4 p |
5x1 = 5 p |
Number of oranges that Victoria transferred from Container G to Container H
=
13 x 9 u
= 3 u
Total number of fruits in Container G in the end
= 4 u + 6 u
= 10 u
10 u = 190
1 u = 190 ÷ 10 = 19
The number of kiwis in Container H is the unchanged quantity.
LCM of 2 and 4 is 4.
Number of oranges that Victoria transferred from Container G to Container H
= 3 u
= 3 x 19
= 57
Increase in the number of oranges that due to the transfer from Container G to Container H
= 5 p - 2 p
= 3 p
3 p = 3 u
3 p = 57
1 p = 57 ÷ 3 = 19
Number of fruits in Container H in the end
= 4 p + 5 p
= 9 p
= 9 x 19
= 171
Answer(s): 171