Fabian had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall L and the ratio of pears to oranges was 1 : 4. When he reached Stall M, he unloaded ¹¹₁₂ of the oranges and some pears from his lorry. The ratio of pears to oranges became 3 : 4. At Stall N, 46 pears and 36 oranges were collected and the number of pears to oranges became the same.

1. How many fruits were there on his lorry after visiting Stall N?
2. How many pears were delivered to Stall M?

	Location	Pears	Oranges
Comparing pears and oranges at first	Stall L	1x12 = 12 u	4x12 = 48 u
Before 1	Stall L	12 u	12x4 = 48 u
Change 1	Stall M	- ?	- 11x4 = - 44 u
After 1	Stall N	3 u	1x4 = 4 u
Before 2	Stall N	3x1 = 3 u	4x1 = 4 u
Change 2	Stall N	+ 46	+ 36
After 2	Stall N	3 u + 46	4 u + 36

(a)
The number of oranges after unloading at Stall M is repeated.  Make the number of oranges left after unloading at Stall M the same.  LCM of 4 and 1 is 4.

The number of oranges collected at Stall L is repeated.  Make the number of oranges collected at Stall L the same by multiplying 4 by 12. 
 
The number of pears and oranges in the end is the same.

4 u + 36 = 3 u + 46
4 u - 3 u = 46 - 36

1 u = 10

Number of pears on his lorry after collecting from Stall N
= 3 u + 46
= 3 x 10 + 46
= 30 + 46
= 76

Number of fruits on his lorry after collecting from Stall N
= 2 x 76 
= 152 

(b)
Number of pears delivered to Stall M
= 12 u - 3 u
= 9 u
= 9 x 10
= 90

Answer(s): (a) 152; (b) 90