Esther had some passion fruits and chikoos in 2 containers. In Container C, the number of passion fruits to the number of chikoos was in the ratio of 5 : 8. In Container D, there were five times as many passion fruits as chikoos. After Esther transferred
34 of the chikoos from Container C to Container D, the number of fruits left in Container C was 259 and the ratio of the number of passion fruits to the number of chikoos in Container B became 8 : 9. How many fruits were in Container D in the end?
|
Container C |
Container D |
|
Passion Fruits |
Chikoos |
Passion Fruits |
Chikoos |
Before |
5 u |
8 u |
5x8 = 40 p |
1x8 = 8 p |
Change |
|
- 6 u |
|
+ 6 u (+ 37 p) |
After |
5 u |
2 u |
8x5 = 40 p |
9x5 = 45 p |
Number of chikoos that Esther transferred from Container C to Container D
=
34 x 8 u
= 6 u
Total number of fruits in Container C in the end
= 5 u + 2 u
= 7 u
7 u = 259
1 u = 259 ÷ 7 = 37
The number of passion fruits in Container D is the unchanged quantity.
LCM of 5 and 8 is 40.
Number of chikoos that Esther transferred from Container C to Container D
= 6 u
= 6 x 37
= 222
Increase in the number of chikoos that due to the transfer from Container C to Container D
= 45 p - 8 p
= 37 p
37 p = 6 u
37 p = 222
1 p = 222 ÷ 37 = 6
Number of fruits in Container D in the end
= 40 p + 45 p
= 85 p
= 85 x 6
= 510
Answer(s): 510