Eric had to collect some fruits from two shops and deliver some fruits to another shop. He collected from Shop J and the ratio of passion fruits to apples was 3 : 4. When he reached Shop K, he unloaded ⁷₈ of the apples and some passion fruits from his lorry. The ratio of passion fruits to apples became 3 : 4. At Shop L, 39 passion fruits and 27 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 Shop L?
2. How many passion fruits were delivered to Shop K?

	Location	Passion Fruits	Apples
Comparing passion fruits and apples at first	Shop J	3x8 = 24 u	4x8 = 32 u
Before 1	Shop J	24 u	8x4 = 32 u
Change 1	Shop K	- ?	- 7x4 = - 28 u
After 1	Shop L	3 u	1x4 = 4 u
Before 2	Shop L	3x1 = 3 u	4x1 = 4 u
Change 2	Shop L	+ 39	+ 27
After 2	Shop L	3 u + 39	4 u + 27

(a)
The number of apples after unloading at Shop K is repeated.  Make the number of apples left after unloading at Shop K the same.  LCM of 4 and 1 is 4.

The number of apples collected at Shop J is repeated.  Make the number of apples collected at Shop J the same by multiplying 4 by 8. 
 
The number of passion fruits and apples in the end is the same.

4 u + 27 = 3 u + 39
4 u - 3 u = 39 - 27

1 u = 12

Number of passion fruits on his lorry after collecting from Shop L
= 3 u + 39
= 3 x 12 + 39
= 36 + 39
= 75

Number of fruits on his lorry after collecting from Shop L
= 2 x 75 
= 150 

(b)
Number of passion fruits delivered to Shop K
= 24 u - 3 u
= 21 u
= 21 x 12
= 252

Answer(s): (a) 150; (b) 252