Andy had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall U and the ratio of mangoes to kiwis was 1 : 2. When he reached Stall V, he unloaded ⁹₁₀ of the kiwis and some mangoes from his lorry. The ratio of mangoes to kiwis became 3 : 4. At Stall W, 28 mangoes and 24 kiwis were collected and the number of mangoes to kiwis became the same.

1. How many fruits were there on his lorry after visiting Stall W?
2. How many mangoes were delivered to Stall V?

	Location	Mangoes	Kiwis
Comparing mangoes and kiwis at first	Stall U	1x20 = 20 u	2x20 = 40 u
Before 1	Stall U	20 u	10x4 = 40 u
Change 1	Stall V	- ?	- 9x4 = - 36 u
After 1	Stall W	3 u	1x4 = 4 u
Before 2	Stall W	3x1 = 3 u	4x1 = 4 u
Change 2	Stall W	+ 28	+ 24
After 2	Stall W	3 u + 28	4 u + 24

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

The number of kiwis collected at Stall U is repeated.  Make the number of kiwis collected at Stall U the same by multiplying 2 by 20. 
 
The number of mangoes and kiwis in the end is the same.

4 u + 24 = 3 u + 28
4 u - 3 u = 28 - 24

1 u = 4

Number of mangoes on his lorry after collecting from Stall W
= 3 u + 28
= 3 x 4 + 28
= 12 + 28
= 40

Number of fruits on his lorry after collecting from Stall W
= 2 x 40 
= 80 

(b)
Number of mangoes delivered to Stall V
= 20 u - 3 u
= 17 u
= 17 x 4
= 68

Answer(s): (a) 80; (b) 68