Billy had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart A and the ratio of mangosteens to apples was 2 : 5. When he reached Mart B, he unloaded ⁹₁₀ of the apples and some mangosteens from his vehicle. The ratio of mangosteens to apples became 2 : 3. At Mart C, 30 mangosteens and 27 apples were collected and the number of mangosteens to apples became the same.

1. How many fruits were there on his vehicle after visiting Mart C?
2. How many mangosteens were delivered to Mart B?

	Location	Mangosteens	Apples
Comparing mangosteens and apples at first	Mart A	2x6 = 12 u	5x6 = 30 u
Before 1	Mart A	12 u	10x3 = 30 u
Change 1	Mart B	- ?	- 9x3 = - 27 u
After 1	Mart C	2 u	1x3 = 3 u
Before 2	Mart C	2x1 = 2 u	3x1 = 3 u
Change 2	Mart C	+ 30	+ 27
After 2	Mart C	2 u + 30	3 u + 27

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

The number of apples collected at Mart A is repeated.  Make the number of apples collected at Mart A the same by multiplying 5 by 6. 
 
The number of mangosteens and apples in the end is the same.

3 u + 27 = 2 u + 30
3 u - 2 u = 30 - 27

1 u = 3

Number of mangosteens on his vehicle after collecting from Mart C
= 2 u + 30
= 2 x 3 + 30
= 6 + 30
= 36

Number of fruits on his vehicle after collecting from Mart C
= 2 x 36 
= 72 

(b)
Number of mangosteens delivered to Mart B
= 12 u - 2 u
= 10 u
= 10 x 3
= 30

Answer(s): (a) 72; (b) 30