Bobby had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart P and the ratio of mangosteens to mangoes was 1 : 2. When he reached Mart Q, he unloaded ¹¹₁₂ of the mangoes and some mangosteens from his vehicle. The ratio of mangosteens to mangoes became 3 : 4. At Mart R, 21 mangosteens and 14 mangoes were collected and the number of mangosteens to mangoes became the same.

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

	Location	Mangosteens	Mangoes
Comparing mangosteens and mangoes at first	Mart P	1x24 = 24 u	2x24 = 48 u
Before 1	Mart P	24 u	12x4 = 48 u
Change 1	Mart Q	- ?	- 11x4 = - 44 u
After 1	Mart R	3 u	1x4 = 4 u
Before 2	Mart R	3x1 = 3 u	4x1 = 4 u
Change 2	Mart R	+ 21	+ 14
After 2	Mart R	3 u + 21	4 u + 14

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

The number of mangoes collected at Mart P is repeated.  Make the number of mangoes collected at Mart P the same by multiplying 2 by 24. 
 
The number of mangosteens and mangoes in the end is the same.

4 u + 14 = 3 u + 21
4 u - 3 u = 21 - 14

1 u = 7

Number of mangosteens on his vehicle after collecting from Mart R
= 3 u + 21
= 3 x 7 + 21
= 21 + 21
= 42

Number of fruits on his vehicle after collecting from Mart R
= 2 x 42 
= 84 

(b)
Number of mangosteens delivered to Mart Q
= 24 u - 3 u
= 21 u
= 21 x 7
= 147

Answer(s): (a) 84; (b) 147