Pierre had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall E and the ratio of passion fruits to mangoes was 2 : 5. When he reached Stall F, he unloaded ⁹₁₀ of the mangoes and some passion fruits from his lorry. The ratio of passion fruits to mangoes became 3 : 4. At Stall G, 26 passion fruits and 16 mangoes were collected and the number of passion fruits to mangoes became the same.

1. How many fruits were there on his lorry after visiting Stall G?
2. How many passion fruits were delivered to Stall F?

	Location	Passion Fruits	Mangoes
Comparing passion fruits and mangoes at first	Stall E	2x8 = 16 u	5x8 = 40 u
Before 1	Stall E	16 u	10x4 = 40 u
Change 1	Stall F	- ?	- 9x4 = - 36 u
After 1	Stall G	3 u	1x4 = 4 u
Before 2	Stall G	3x1 = 3 u	4x1 = 4 u
Change 2	Stall G	+ 26	+ 16
After 2	Stall G	3 u + 26	4 u + 16

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

The number of mangoes collected at Stall E is repeated.  Make the number of mangoes collected at Stall E the same by multiplying 5 by 8. 
 
The number of passion fruits and mangoes in the end is the same.

4 u + 16 = 3 u + 26
4 u - 3 u = 26 - 16

1 u = 10

Number of passion fruits on his lorry after collecting from Stall G
= 3 u + 26
= 3 x 10 + 26
= 30 + 26
= 56

Number of fruits on his lorry after collecting from Stall G
= 2 x 56 
= 112 

(b)
Number of passion fruits delivered to Stall F
= 16 u - 3 u
= 13 u
= 13 x 10
= 130

Answer(s): (a) 112; (b) 130