Emily had some passion fruits and chikoos in 2 containers. In Container Y, the number of passion fruits to the number of chikoos was in the ratio of 5 : 9. In Container Z, there were five times as many passion fruits as chikoos. After Emily transferred
23 of the chikoos from Container Y to Container Z, the number of fruits left in Container Y was 232 and the ratio of the number of passion fruits to the number of chikoos in Container B became 1 : 6. How many fruits were in Container Z in the end?
|
Container Y |
Container Z |
|
Passion Fruits |
Chikoos |
Passion Fruits |
Chikoos |
Before |
5 u |
9 u |
5x1 = 5 p |
1x1 = 1 p |
Change |
|
- 6 u |
|
+ 6 u (+ 29 p) |
After |
5 u |
3 u |
1x5 = 5 p |
6x5 = 30 p |
Number of chikoos that Emily transferred from Container Y to Container Z
=
23 x 9 u
= 6 u
Total number of fruits in Container Y in the end
= 5 u + 3 u
= 8 u
8 u = 232
1 u = 232 ÷ 8 = 29
The number of passion fruits in Container Z is the unchanged quantity.
LCM of 5 and 1 is 5.
Number of chikoos that Emily transferred from Container Y to Container Z
= 6 u
= 6 x 29
= 174
Increase in the number of chikoos that due to the transfer from Container Y to Container Z
= 30 p - 1 p
= 29 p
29 p = 6 u
29 p = 174
1 p = 174 ÷ 29 = 6
Number of fruits in Container Z in the end
= 5 p + 30 p
= 35 p
= 35 x 6
= 210
Answer(s): 210