Tim had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall F and the ratio of pears to mangoes was 3 : 4. When he reached Stall G, he unloaded ³₄ of the mangoes and some pears from his vehicle. The ratio of pears to mangoes became 2 : 3. At Stall H, 57 pears and 47 mangoes were collected and the number of pears to mangoes became the same.

1. How many fruits were there on his vehicle after visiting Stall H?
2. How many pears were delivered to Stall G?

	Location	Pears	Mangoes
Comparing pears and mangoes at first	Stall F	3x3 = 9 u	4x3 = 12 u
Before 1	Stall F	9 u	4x3 = 12 u
Change 1	Stall G	- ?	- 3x3 = - 9 u
After 1	Stall H	2 u	1x3 = 3 u
Before 2	Stall H	2x1 = 2 u	3x1 = 3 u
Change 2	Stall H	+ 57	+ 47
After 2	Stall H	2 u + 57	3 u + 47

(a)
The number of mangoes after unloading at Stall G is repeated.  Make the number of mangoes left after unloading at Stall G the same.  LCM of 3 and 1 is 3.

The number of mangoes collected at Stall F is repeated.  Make the number of mangoes collected at Stall F the same by multiplying 4 by 3. 
 
The number of pears and mangoes in the end is the same.

3 u + 47 = 2 u + 57
3 u - 2 u = 57 - 47

1 u = 10

Number of pears on his vehicle after collecting from Stall H
= 2 u + 57
= 2 x 10 + 57
= 20 + 57
= 77

Number of fruits on his vehicle after collecting from Stall H
= 2 x 77 
= 154 

(b)
Number of pears delivered to Stall G
= 9 u - 2 u
= 7 u
= 7 x 10
= 70

Answer(s): (a) 154; (b) 70