Mark had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart T and the ratio of mangoes to pears was 1 : 2. When he reached Mart U, he unloaded ⁵₆ of the pears and some mangoes from his vehicle. The ratio of mangoes to pears became 2 : 3. At Mart V, 37 mangoes and 19 pears were collected and the number of mangoes to pears became the same.

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

	Location	Mangoes	Pears
Comparing mangoes and pears at first	Mart T	1x9 = 9 u	2x9 = 18 u
Before 1	Mart T	9 u	6x3 = 18 u
Change 1	Mart U	- ?	- 5x3 = - 15 u
After 1	Mart V	2 u	1x3 = 3 u
Before 2	Mart V	2x1 = 2 u	3x1 = 3 u
Change 2	Mart V	+ 37	+ 19
After 2	Mart V	2 u + 37	3 u + 19

(a)
The number of pears after unloading at Mart U is repeated.  Make the number of pears left after unloading at Mart U the same.  LCM of 3 and 1 is 3.

The number of pears collected at Mart T is repeated.  Make the number of pears collected at Mart T the same by multiplying 2 by 9. 
 
The number of mangoes and pears in the end is the same.

3 u + 19 = 2 u + 37
3 u - 2 u = 37 - 19

1 u = 18

Number of mangoes on his vehicle after collecting from Mart V
= 2 u + 37
= 2 x 18 + 37
= 36 + 37
= 73

Number of fruits on his vehicle after collecting from Mart V
= 2 x 73 
= 146 

(b)
Number of mangoes delivered to Mart U
= 9 u - 2 u
= 7 u
= 7 x 18
= 126

Answer(s): (a) 146; (b) 126