Fabian had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart M and the ratio of starfruits to lemons was 3 : 4. When he reached Mart N, he unloaded
1112 of the lemons and some starfruits from his lorry. The ratio of starfruits to lemons became 3 : 4. At Mart P, 39 starfruits and 36 lemons were collected and the number of starfruits to lemons became the same.
- How many fruits were there on his lorry after visiting Mart P?
- How many starfruits were delivered to Mart N?
|
Location |
Starfruits |
Lemons |
Comparing starfruits and lemons at first |
Mart M |
3x12 = 36 u |
4x12 = 48 u |
Before 1 |
Mart M |
36 u |
12x4 = 48 u |
Change 1 |
Mart N |
- ? |
- 11x4 = - 44 u |
After 1 |
Mart P |
3 u |
1x4 = 4 u |
Before 2 |
Mart P |
3x1 = 3 u |
4x1 = 4 u |
Change 2 |
Mart P |
+ 39 |
+ 36 |
After 2 |
Mart P |
3 u + 39 |
4 u + 36 |
(a)
The number of lemons after unloading at Mart N is repeated. Make the number of lemons left after unloading at Mart N the same. LCM of 4 and 1 is 4.
The number of lemons collected at Mart M is repeated. Make the number of lemons collected at Mart M the same by multiplying 4 by 12.
The number of starfruits and lemons in the end is the same.
4 u + 36 = 3 u + 39
4 u - 3 u = 39 - 36
1 u = 3
Number of starfruits on his lorry after collecting from Mart P
= 3 u + 39
= 3 x 3 + 39
= 9 + 39
= 48
Number of fruits on his lorry after collecting from Mart P
= 2 x 48
= 96
(b)
Number of starfruits delivered to Mart N
= 36 u - 3 u
= 33 u
= 33 x 3
= 99
Answer(s): (a) 96; (b) 99