Asher had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart J and the ratio of chikoos to kiwis was 1 : 3. When he reached Mart K, he unloaded
56 of the kiwis and some chikoos from his van. The ratio of chikoos to kiwis became 1 : 2. At Mart L, 49 chikoos and 34 kiwis were collected and the number of chikoos to kiwis became the same.
- How many fruits were there on his van after visiting Mart L?
- How many chikoos were delivered to Mart K?
|
Location |
Chikoos |
Kiwis |
Comparing chikoos and kiwis at first |
Mart J |
1x4 = 4 u |
3x4 = 12 u |
Before 1 |
Mart J |
4 u |
6x2 = 12 u |
Change 1 |
Mart K |
- ? |
- 5x2 = - 10 u |
After 1 |
Mart L |
1 u |
1x2 = 2 u |
Before 2 |
Mart L |
1x1 = 1 u |
2x1 = 2 u |
Change 2 |
Mart L |
+ 49 |
+ 34 |
After 2 |
Mart L |
1 u + 49 |
2 u + 34 |
(a)
The number of kiwis after unloading at Mart K is repeated. Make the number of kiwis left after unloading at Mart K the same. LCM of 2 and 1 is 2.
The number of kiwis collected at Mart J is repeated. Make the number of kiwis collected at Mart J the same by multiplying 3 by 4.
The number of chikoos and kiwis in the end is the same.
2 u + 34 = 1 u + 49
2 u - 1 u = 49 - 34
1 u = 15
Number of chikoos on his van after collecting from Mart L
= 1 u + 49
= 1 x 15 + 49
= 15 + 49
= 64
Number of fruits on his van after collecting from Mart L
= 2 x 64
= 128
(b)
Number of chikoos delivered to Mart K
= 4 u - 1 u
= 3 u
= 3 x 15
= 45
Answer(s): (a) 128; (b) 45