Lee had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart Q and the ratio of apples to pears was 1 : 4. When he reached Mart R, he unloaded ⁹₁₀ of the pears and some apples from his van. The ratio of apples to pears became 3 : 4. At Mart S, 49 apples and 34 pears were collected and the number of apples to pears became the same.

1. How many fruits were there on his van after visiting Mart S?
2. How many apples were delivered to Mart R?

	Location	Apples	Pears
Comparing apples and pears at first	Mart Q	1x10 = 10 u	4x10 = 40 u
Before 1	Mart Q	10 u	10x4 = 40 u
Change 1	Mart R	- ?	- 9x4 = - 36 u
After 1	Mart S	3 u	1x4 = 4 u
Before 2	Mart S	3x1 = 3 u	4x1 = 4 u
Change 2	Mart S	+ 49	+ 34
After 2	Mart S	3 u + 49	4 u + 34

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

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

4 u + 34 = 3 u + 49
4 u - 3 u = 49 - 34

1 u = 15

Number of apples on his van after collecting from Mart S
= 3 u + 49
= 3 x 15 + 49
= 45 + 49
= 94

Number of fruits on his van after collecting from Mart S
= 2 x 94 
= 188 

(b)
Number of apples delivered to Mart R
= 10 u - 3 u
= 7 u
= 7 x 15
= 105

Answer(s): (a) 188; (b) 105