Oscar had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market E and the ratio of persimmons to pears was 3 : 8. When he reached Market F, he unloaded ⁹₁₀ of the pears and some persimmons from his vehicle. The ratio of persimmons to pears became 3 : 4. At Market G, 43 persimmons and 34 pears were collected and the number of persimmons to pears became the same.

1. How many fruits were there on his vehicle after visiting Market G?
2. How many persimmons were delivered to Market F?

	Location	Persimmons	Pears
Comparing persimmons and pears at first	Market E	3x5 = 15 u	8x5 = 40 u
Before 1	Market E	15 u	10x4 = 40 u
Change 1	Market F	- ?	- 9x4 = - 36 u
After 1	Market G	3 u	1x4 = 4 u
Before 2	Market G	3x1 = 3 u	4x1 = 4 u
Change 2	Market G	+ 43	+ 34
After 2	Market G	3 u + 43	4 u + 34

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

The number of pears collected at Market E is repeated.  Make the number of pears collected at Market E the same by multiplying 8 by 5. 
 
The number of persimmons and pears in the end is the same.

4 u + 34 = 3 u + 43
4 u - 3 u = 43 - 34

1 u = 9

Number of persimmons on his vehicle after collecting from Market G
= 3 u + 43
= 3 x 9 + 43
= 27 + 43
= 70

Number of fruits on his vehicle after collecting from Market G
= 2 x 70 
= 140 

(b)
Number of persimmons delivered to Market F
= 15 u - 3 u
= 12 u
= 12 x 9
= 108

Answer(s): (a) 140; (b) 108