Bryan had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart S and the ratio of passion fruits to apples was 2 : 3. When he reached Mart T, he unloaded ³₄ of the apples and some passion fruits from his lorry. The ratio of passion fruits to apples became 2 : 3. At Mart U, 33 passion fruits and 14 apples were collected and the number of passion fruits to apples became the same.

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

	Location	Passion Fruits	Apples
Comparing passion fruits and apples at first	Mart S	2x4 = 8 u	3x4 = 12 u
Before 1	Mart S	8 u	4x3 = 12 u
Change 1	Mart T	- ?	- 3x3 = - 9 u
After 1	Mart U	2 u	1x3 = 3 u
Before 2	Mart U	2x1 = 2 u	3x1 = 3 u
Change 2	Mart U	+ 33	+ 14
After 2	Mart U	2 u + 33	3 u + 14

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

The number of apples collected at Mart S is repeated.  Make the number of apples collected at Mart S the same by multiplying 3 by 4. 
 
The number of passion fruits and apples in the end is the same.

3 u + 14 = 2 u + 33
3 u - 2 u = 33 - 14

1 u = 19

Number of passion fruits on his lorry after collecting from Mart U
= 2 u + 33
= 2 x 19 + 33
= 38 + 33
= 71

Number of fruits on his lorry after collecting from Mart U
= 2 x 71 
= 142 

(b)
Number of passion fruits delivered to Mart T
= 8 u - 2 u
= 6 u
= 6 x 19
= 114

Answer(s): (a) 142; (b) 114