Barbara had some kiwis and chikoos in 2 crates. In Crate E, the number of kiwis to the number of chikoos was in the ratio of 5 : 6. In Crate F, there were twice as many kiwis as chikoos. After Barbara transferred
23 of the chikoos from Crate E to Crate F, the number of fruits left in Crate E was 77 and the ratio of the number of kiwis to the number of chikoos in Crate B became 3 : 7. How many fruits were in Crate F in the end?
|
Crate E |
Crate F |
|
Kiwis |
Chikoos |
Kiwis |
Chikoos |
Before |
5 u |
6 u |
2x3 = 6 p |
1x3 = 3 p |
Change |
|
- 4 u |
|
+ 4 u (+ 11 p) |
After |
5 u |
2 u |
3x2 = 6 p |
7x2 = 14 p |
Number of chikoos that Barbara transferred from Crate E to Crate F
=
23 x 6 u
= 4 u
Total number of fruits in Crate E in the end
= 5 u + 2 u
= 7 u
7 u = 77
1 u = 77 ÷ 7 = 11
The number of kiwis in Crate F is the unchanged quantity.
LCM of 2 and 3 is 6.
Number of chikoos that Barbara transferred from Crate E to Crate F
= 4 u
= 4 x 11
= 44
Increase in the number of chikoos that due to the transfer from Crate E to Crate F
= 14 p - 3 p
= 11 p
11 p = 4 u
11 p = 44
1 p = 44 ÷ 11 = 4
Number of fruits in Crate F in the end
= 6 p + 14 p
= 20 p
= 20 x 4
= 80
Answer(s): 80