Flynn had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart A and the ratio of pears to kiwis was 7 : 10. When he reached Mart B, he unloaded ⁹₁₀ of the kiwis and some pears from his van. The ratio of pears to kiwis became 3 : 4. At Mart C, 37 pears and 27 kiwis were collected and the number of pears to kiwis became the same.

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

	Location	Pears	Kiwis
Comparing pears and kiwis at first	Mart A	7x4 = 28 u	10x4 = 40 u
Before 1	Mart A	28 u	10x4 = 40 u
Change 1	Mart B	- ?	- 9x4 = - 36 u
After 1	Mart C	3 u	1x4 = 4 u
Before 2	Mart C	3x1 = 3 u	4x1 = 4 u
Change 2	Mart C	+ 37	+ 27
After 2	Mart C	3 u + 37	4 u + 27

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

The number of kiwis collected at Mart A is repeated.  Make the number of kiwis collected at Mart A the same by multiplying 10 by 4. 
 
The number of pears and kiwis in the end is the same.

4 u + 27 = 3 u + 37
4 u - 3 u = 37 - 27

1 u = 10

Number of pears on his van after collecting from Mart C
= 3 u + 37
= 3 x 10 + 37
= 30 + 37
= 67

Number of fruits on his van after collecting from Mart C
= 2 x 67 
= 134 

(b)
Number of pears delivered to Mart B
= 28 u - 3 u
= 25 u
= 25 x 10
= 250

Answer(s): (a) 134; (b) 250