Michael had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart U and the ratio of mangoes to starfruits was 1 : 4. When he reached Mart V, he unloaded ⁷₈ of the starfruits and some mangoes from his vehicle. The ratio of mangoes to starfruits became 1 : 2. At Mart W, 52 mangoes and 41 starfruits were collected and the number of mangoes to starfruits became the same.

1. How many fruits were there on his vehicle after visiting Mart W?
2. How many mangoes were delivered to Mart V?

	Location	Mangoes	Starfruits
Comparing mangoes and starfruits at first	Mart U	1x4 = 4 u	4x4 = 16 u
Before 1	Mart U	4 u	8x2 = 16 u
Change 1	Mart V	- ?	- 7x2 = - 14 u
After 1	Mart W	1 u	1x2 = 2 u
Before 2	Mart W	1x1 = 1 u	2x1 = 2 u
Change 2	Mart W	+ 52	+ 41
After 2	Mart W	1 u + 52	2 u + 41

(a)
The number of starfruits after unloading at Mart V is repeated.  Make the number of starfruits left after unloading at Mart V the same.  LCM of 2 and 1 is 2.

The number of starfruits collected at Mart U is repeated.  Make the number of starfruits collected at Mart U the same by multiplying 4 by 4. 
 
The number of mangoes and starfruits in the end is the same.

2 u + 41 = 1 u + 52
2 u - 1 u = 52 - 41

1 u = 11

Number of mangoes on his vehicle after collecting from Mart W
= 1 u + 52
= 1 x 11 + 52
= 11 + 52
= 63

Number of fruits on his vehicle after collecting from Mart W
= 2 x 63 
= 126 

(b)
Number of mangoes delivered to Mart V
= 4 u - 1 u
= 3 u
= 3 x 11
= 33

Answer(s): (a) 126; (b) 33