Perry had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart T and the ratio of passion fruits to pears was 1 : 2. When he reached Mart U, he unloaded ⁷₈ of the pears and some passion fruits from his lorry. The ratio of passion fruits to pears became 2 : 3. At Mart V, 39 passion fruits and 37 pears were collected and the number of passion fruits to pears became the same.

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

	Location	Passion Fruits	Pears
Comparing passion fruits and pears at first	Mart T	1x12 = 12 u	2x12 = 24 u
Before 1	Mart T	12 u	8x3 = 24 u
Change 1	Mart U	- ?	- 7x3 = - 21 u
After 1	Mart V	2 u	1x3 = 3 u
Before 2	Mart V	2x1 = 2 u	3x1 = 3 u
Change 2	Mart V	+ 39	+ 37
After 2	Mart V	2 u + 39	3 u + 37

(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 12. 
 
The number of passion fruits and pears in the end is the same.

3 u + 37 = 2 u + 39
3 u - 2 u = 39 - 37

1 u = 2

Number of passion fruits on his lorry after collecting from Mart V
= 2 u + 39
= 2 x 2 + 39
= 4 + 39
= 43

Number of fruits on his lorry after collecting from Mart V
= 2 x 43 
= 86 

(b)
Number of passion fruits delivered to Mart U
= 12 u - 2 u
= 10 u
= 10 x 2
= 20

Answer(s): (a) 86; (b) 20