Julie had some chikoos and kiwis in 2 cartons. In Carton M, the number of chikoos to the number of kiwis was in the ratio of 2 : 9. In Carton N, there were five times as many chikoos as kiwis. After Julie transferred
13 of the kiwis from Carton M to Carton N, the number of fruits left in Carton M was 88 and the ratio of the number of chikoos to the number of kiwis in Carton B became 2 : 7. How many fruits were in Carton N in the end?
|
Carton M |
Carton N |
|
Chikoos |
Kiwis |
Chikoos |
Kiwis |
Before |
2 u |
9 u |
5x2 = 10 p |
1x2 = 2 p |
Change |
|
- 3 u |
|
+ 3 u (+ 33 p) |
After |
2 u |
6 u |
2x5 = 10 p |
7x5 = 35 p |
Number of kiwis that Julie transferred from Carton M to Carton N
=
13 x 9 u
= 3 u
Total number of fruits in Carton M in the end
= 2 u + 6 u
= 8 u
8 u = 88
1 u = 88 ÷ 8 = 11
The number of chikoos in Carton N is the unchanged quantity.
LCM of 5 and 2 is 10.
Number of kiwis that Julie transferred from Carton M to Carton N
= 3 u
= 3 x 11
= 33
Increase in the number of kiwis that due to the transfer from Carton M to Carton N
= 35 p - 2 p
= 33 p
33 p = 3 u
33 p = 33
1 p = 33 ÷ 33 = 1
Number of fruits in Carton N in the end
= 10 p + 35 p
= 45 p
= 45 x 1
= 45
Answer(s): 45