Howard had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market C and the ratio of starfruits to chikoos was 1 : 2. When he reached Market D, he unloaded ⁷₈ of the chikoos and some starfruits from his vehicle. The ratio of starfruits to chikoos became 3 : 4. At Market E, 49 starfruits and 45 chikoos were collected and the number of starfruits to chikoos became the same.

1. How many fruits were there on his vehicle after visiting Market E?
2. How many starfruits were delivered to Market D?

	Location	Starfruits	Chikoos
Comparing starfruits and chikoos at first	Market C	1x16 = 16 u	2x16 = 32 u
Before 1	Market C	16 u	8x4 = 32 u
Change 1	Market D	- ?	- 7x4 = - 28 u
After 1	Market E	3 u	1x4 = 4 u
Before 2	Market E	3x1 = 3 u	4x1 = 4 u
Change 2	Market E	+ 49	+ 45
After 2	Market E	3 u + 49	4 u + 45

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

The number of chikoos collected at Market C is repeated.  Make the number of chikoos collected at Market C the same by multiplying 2 by 16. 
 
The number of starfruits and chikoos in the end is the same.

4 u + 45 = 3 u + 49
4 u - 3 u = 49 - 45

1 u = 4

Number of starfruits on his vehicle after collecting from Market E
= 3 u + 49
= 3 x 4 + 49
= 12 + 49
= 61

Number of fruits on his vehicle after collecting from Market E
= 2 x 61 
= 122 

(b)
Number of starfruits delivered to Market D
= 16 u - 3 u
= 13 u
= 13 x 4
= 52

Answer(s): (a) 122; (b) 52