Julian had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall S and the ratio of mangoes to lemons was 3 : 4. When he reached Stall T, he unloaded
1112 of the lemons and some mangoes from his van. The ratio of mangoes to lemons became 1 : 2. At Stall U, 36 mangoes and 16 lemons were collected and the number of mangoes to lemons became the same.
- How many fruits were there on his van after visiting Stall U?
- How many mangoes were delivered to Stall T?
|
Location |
Mangoes |
Lemons |
Comparing mangoes and lemons at first |
Stall S |
3x6 = 18 u |
4x6 = 24 u |
Before 1 |
Stall S |
18 u |
12x2 = 24 u |
Change 1 |
Stall T |
- ? |
- 11x2 = - 22 u |
After 1 |
Stall U |
1 u |
1x2 = 2 u |
Before 2 |
Stall U |
1x1 = 1 u |
2x1 = 2 u |
Change 2 |
Stall U |
+ 36 |
+ 16 |
After 2 |
Stall U |
1 u + 36 |
2 u + 16 |
(a)
The number of lemons after unloading at Stall T is repeated. Make the number of lemons left after unloading at Stall T the same. LCM of 2 and 1 is 2.
The number of lemons collected at Stall S is repeated. Make the number of lemons collected at Stall S the same by multiplying 4 by 6.
The number of mangoes and lemons in the end is the same.
2 u + 16 = 1 u + 36
2 u - 1 u = 36 - 16
1 u = 20
Number of mangoes on his van after collecting from Stall U
= 1 u + 36
= 1 x 20 + 36
= 20 + 36
= 56
Number of fruits on his van after collecting from Stall U
= 2 x 56
= 112
(b)
Number of mangoes delivered to Stall T
= 18 u - 1 u
= 17 u
= 17 x 20
= 340
Answer(s): (a) 112; (b) 340