Flynn had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart A and the ratio of lemons to mangoes was 1 : 2. When he reached Mart B, he unloaded
910 of the mangoes and some lemons from his van. The ratio of lemons to mangoes became 1 : 2. At Mart C, 48 lemons and 44 mangoes were collected and the number of lemons to mangoes became the same.
- How many fruits were there on his van after visiting Mart C?
- How many lemons were delivered to Mart B?
|
Location |
Lemons |
Mangoes |
Comparing lemons and mangoes at first |
Mart A |
1x10 = 10 u |
2x10 = 20 u |
Before 1 |
Mart A |
10 u |
10x2 = 20 u |
Change 1 |
Mart B |
- ? |
- 9x2 = - 18 u |
After 1 |
Mart C |
1 u |
1x2 = 2 u |
Before 2 |
Mart C |
1x1 = 1 u |
2x1 = 2 u |
Change 2 |
Mart C |
+ 48 |
+ 44 |
After 2 |
Mart C |
1 u + 48 |
2 u + 44 |
(a)
The number of mangoes after unloading at Mart B is repeated. Make the number of mangoes left after unloading at Mart B the same. LCM of 2 and 1 is 2.
The number of mangoes collected at Mart A is repeated. Make the number of mangoes collected at Mart A the same by multiplying 2 by 10.
The number of lemons and mangoes in the end is the same.
2 u + 44 = 1 u + 48
2 u - 1 u = 48 - 44
1 u = 4
Number of lemons on his van after collecting from Mart C
= 1 u + 48
= 1 x 4 + 48
= 4 + 48
= 52
Number of fruits on his van after collecting from Mart C
= 2 x 52
= 104
(b)
Number of lemons delivered to Mart B
= 10 u - 1 u
= 9 u
= 9 x 4
= 36
Answer(s): (a) 104; (b) 36