Emily had some kiwis and passion fruits in 2 containers. In Container D, the number of kiwis to the number of passion fruits was in the ratio of 5 : 8. In Container E, there were thrice as many kiwis as passion fruits. After Emily transferred
34 of the passion fruits from Container D to Container E, the number of fruits left in Container D was 161 and the ratio of the number of kiwis to the number of passion fruits in Container B became 4 : 9. How many fruits were in Container E in the end?
|
Container D |
Container E |
|
Kiwis |
Passion Fruits |
Kiwis |
Passion Fruits |
Before |
5 u |
8 u |
3x4 = 12 p |
1x4 = 4 p |
Change |
|
- 6 u |
|
+ 6 u (+ 23 p) |
After |
5 u |
2 u |
4x3 = 12 p |
9x3 = 27 p |
Number of passion fruits that Emily transferred from Container D to Container E
=
34 x 8 u
= 6 u
Total number of fruits in Container D in the end
= 5 u + 2 u
= 7 u
7 u = 161
1 u = 161 ÷ 7 = 23
The number of kiwis in Container E is the unchanged quantity.
LCM of 3 and 4 is 12.
Number of passion fruits that Emily transferred from Container D to Container E
= 6 u
= 6 x 23
= 138
Increase in the number of passion fruits that due to the transfer from Container D to Container E
= 27 p - 4 p
= 23 p
23 p = 6 u
23 p = 138
1 p = 138 ÷ 23 = 6
Number of fruits in Container E in the end
= 12 p + 27 p
= 39 p
= 39 x 6
= 234
Answer(s): 234