Asher had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart S and the ratio of mangoes to pomegranates was 7 : 8. When he reached Mart T, he unloaded ¹¹₁₂ of the pomegranates and some mangoes from his vehicle. The ratio of mangoes to pomegranates became 1 : 2. At Mart U, 54 mangoes and 44 pomegranates were collected and the number of mangoes to pomegranates became the same.

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

	Location	Mangoes	Pomegranates
Comparing mangoes and pomegranates at first	Mart S	7x3 = 21 u	8x3 = 24 u
Before 1	Mart S	21 u	12x2 = 24 u
Change 1	Mart T	- ?	- 11x2 = - 22 u
After 1	Mart U	1 u	1x2 = 2 u
Before 2	Mart U	1x1 = 1 u	2x1 = 2 u
Change 2	Mart U	+ 54	+ 44
After 2	Mart U	1 u + 54	2 u + 44

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

The number of pomegranates collected at Mart S is repeated.  Make the number of pomegranates collected at Mart S the same by multiplying 8 by 3. 
 
The number of mangoes and pomegranates in the end is the same.

2 u + 44 = 1 u + 54
2 u - 1 u = 54 - 44

1 u = 10

Number of mangoes on his vehicle after collecting from Mart U
= 1 u + 54
= 1 x 10 + 54
= 10 + 54
= 64

Number of fruits on his vehicle after collecting from Mart U
= 2 x 64 
= 128 

(b)
Number of mangoes delivered to Mart T
= 21 u - 1 u
= 20 u
= 20 x 10
= 200

Answer(s): (a) 128; (b) 200