Julian had to collect some fruits from two shops and deliver some fruits to another shop. He collected from Shop C and the ratio of chikoos to mangoes was 3 : 8. When he reached Shop D, he unloaded ¹¹₁₂ of the mangoes and some chikoos from his lorry. The ratio of chikoos to mangoes became 3 : 4. At Shop E, 48 chikoos and 38 mangoes were collected and the number of chikoos to mangoes became the same.

1. How many fruits were there on his lorry after visiting Shop E?
2. How many chikoos were delivered to Shop D?

	Location	Chikoos	Mangoes
Comparing chikoos and mangoes at first	Shop C	3x6 = 18 u	8x6 = 48 u
Before 1	Shop C	18 u	12x4 = 48 u
Change 1	Shop D	- ?	- 11x4 = - 44 u
After 1	Shop E	3 u	1x4 = 4 u
Before 2	Shop E	3x1 = 3 u	4x1 = 4 u
Change 2	Shop E	+ 48	+ 38
After 2	Shop E	3 u + 48	4 u + 38

(a)
The number of mangoes after unloading at Shop D is repeated.  Make the number of mangoes left after unloading at Shop D the same.  LCM of 4 and 1 is 4.

The number of mangoes collected at Shop C is repeated.  Make the number of mangoes collected at Shop C the same by multiplying 8 by 6. 
 
The number of chikoos and mangoes in the end is the same.

4 u + 38 = 3 u + 48
4 u - 3 u = 48 - 38

1 u = 10

Number of chikoos on his lorry after collecting from Shop E
= 3 u + 48
= 3 x 10 + 48
= 30 + 48
= 78

Number of fruits on his lorry after collecting from Shop E
= 2 x 78 
= 156 

(b)
Number of chikoos delivered to Shop D
= 18 u - 3 u
= 15 u
= 15 x 10
= 150

Answer(s): (a) 156; (b) 150