Vaidev had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall A and the ratio of chikoos to persimmons was 2 : 3. When he reached Stall B, he unloaded
1112 of the persimmons and some chikoos from his van. The ratio of chikoos to persimmons became 2 : 3. At Stall C, 58 chikoos and 45 persimmons were collected and the number of chikoos to persimmons became the same.
- How many fruits were there on his van after visiting Stall C?
- How many chikoos were delivered to Stall B?
|
Location |
Chikoos |
Persimmons |
Comparing chikoos and persimmons at first |
Stall A |
2x12 = 24 u |
3x12 = 36 u |
Before 1 |
Stall A |
24 u |
12x3 = 36 u |
Change 1 |
Stall B |
- ? |
- 11x3 = - 33 u |
After 1 |
Stall C |
2 u |
1x3 = 3 u |
Before 2 |
Stall C |
2x1 = 2 u |
3x1 = 3 u |
Change 2 |
Stall C |
+ 58 |
+ 45 |
After 2 |
Stall C |
2 u + 58 |
3 u + 45 |
(a)
The number of persimmons after unloading at Stall B is repeated. Make the number of persimmons left after unloading at Stall B the same. LCM of 3 and 1 is 3.
The number of persimmons collected at Stall A is repeated. Make the number of persimmons collected at Stall A the same by multiplying 3 by 12.
The number of chikoos and persimmons in the end is the same.
3 u + 45 = 2 u + 58
3 u - 2 u = 58 - 45
1 u = 13
Number of chikoos on his van after collecting from Stall C
= 2 u + 58
= 2 x 13 + 58
= 26 + 58
= 84
Number of fruits on his van after collecting from Stall C
= 2 x 84
= 168
(b)
Number of chikoos delivered to Stall B
= 24 u - 2 u
= 22 u
= 22 x 13
= 286
Answer(s): (a) 168; (b) 286