Rael had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart R and the ratio of starfruits to oranges was 7 : 8. When he reached Mart S, he unloaded ¹¹₁₂ of the oranges and some starfruits from his vehicle. The ratio of starfruits to oranges became 1 : 2. At Mart T, 53 starfruits and 41 oranges were collected and the number of starfruits to oranges became the same.

1. How many fruits were there on his vehicle after visiting Mart T?
2. How many starfruits were delivered to Mart S?

	Location	Starfruits	Oranges
Comparing starfruits and oranges at first	Mart R	7x3 = 21 u	8x3 = 24 u
Before 1	Mart R	21 u	12x2 = 24 u
Change 1	Mart S	- ?	- 11x2 = - 22 u
After 1	Mart T	1 u	1x2 = 2 u
Before 2	Mart T	1x1 = 1 u	2x1 = 2 u
Change 2	Mart T	+ 53	+ 41
After 2	Mart T	1 u + 53	2 u + 41

(a)
The number of oranges after unloading at Mart S is repeated.  Make the number of oranges left after unloading at Mart S the same.  LCM of 2 and 1 is 2.

The number of oranges collected at Mart R is repeated.  Make the number of oranges collected at Mart R the same by multiplying 8 by 3. 
 
The number of starfruits and oranges in the end is the same.

2 u + 41 = 1 u + 53
2 u - 1 u = 53 - 41

1 u = 12

Number of starfruits on his vehicle after collecting from Mart T
= 1 u + 53
= 1 x 12 + 53
= 12 + 53
= 65

Number of fruits on his vehicle after collecting from Mart T
= 2 x 65 
= 130 

(b)
Number of starfruits delivered to Mart S
= 21 u - 1 u
= 20 u
= 20 x 12
= 240

Answer(s): (a) 130; (b) 240