Owen had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart P and the ratio of chikoos to mangoes was 1 : 2. When he reached Mart Q, he unloaded ⁷₈ of the mangoes and some chikoos from his van. The ratio of chikoos to mangoes became 3 : 4. At Mart R, 42 chikoos and 31 mangoes were collected and the number of chikoos to mangoes became the same.

1. How many fruits were there on his van after visiting Mart R?
2. How many chikoos were delivered to Mart Q?

	Location	Chikoos	Mangoes
Comparing chikoos and mangoes at first	Mart P	1x16 = 16 u	2x16 = 32 u
Before 1	Mart P	16 u	8x4 = 32 u
Change 1	Mart Q	- ?	- 7x4 = - 28 u
After 1	Mart R	3 u	1x4 = 4 u
Before 2	Mart R	3x1 = 3 u	4x1 = 4 u
Change 2	Mart R	+ 42	+ 31
After 2	Mart R	3 u + 42	4 u + 31

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

The number of mangoes collected at Mart P is repeated.  Make the number of mangoes collected at Mart P the same by multiplying 2 by 16. 
 
The number of chikoos and mangoes in the end is the same.

4 u + 31 = 3 u + 42
4 u - 3 u = 42 - 31

1 u = 11

Number of chikoos on his van after collecting from Mart R
= 3 u + 42
= 3 x 11 + 42
= 33 + 42
= 75

Number of fruits on his van after collecting from Mart R
= 2 x 75 
= 150 

(b)
Number of chikoos delivered to Mart Q
= 16 u - 3 u
= 13 u
= 13 x 11
= 143

Answer(s): (a) 150; (b) 143