Tommy had to collect some fruits from two markets and deliver some fruits to another market. He collected from Market U and the ratio of pomegranates to kiwis was 3 : 4. When he reached Market V, he unloaded
56 of the kiwis and some pomegranates from his lorry. The ratio of pomegranates to kiwis became 3 : 4. At Market W, 36 pomegranates and 19 kiwis were collected and the number of pomegranates to kiwis became the same.
- How many fruits were there on his lorry after visiting Market W?
- How many pomegranates were delivered to Market V?
|
Location |
Pomegranates |
Kiwis |
Comparing pomegranates and kiwis at first |
Market U |
3x6 = 18 u |
4x6 = 24 u |
Before 1 |
Market U |
18 u |
6x4 = 24 u |
Change 1 |
Market V |
- ? |
- 5x4 = - 20 u |
After 1 |
Market W |
3 u |
1x4 = 4 u |
Before 2 |
Market W |
3x1 = 3 u |
4x1 = 4 u |
Change 2 |
Market W |
+ 36 |
+ 19 |
After 2 |
Market W |
3 u + 36 |
4 u + 19 |
(a)
The number of kiwis after unloading at Market V is repeated. Make the number of kiwis left after unloading at Market V the same. LCM of 4 and 1 is 4.
The number of kiwis collected at Market U is repeated. Make the number of kiwis collected at Market U the same by multiplying 4 by 6.
The number of pomegranates and kiwis in the end is the same.
4 u + 19 = 3 u + 36
4 u - 3 u = 36 - 19
1 u = 17
Number of pomegranates on his lorry after collecting from Market W
= 3 u + 36
= 3 x 17 + 36
= 51 + 36
= 87
Number of fruits on his lorry after collecting from Market W
= 2 x 87
= 174
(b)
Number of pomegranates delivered to Market V
= 18 u - 3 u
= 15 u
= 15 x 17
= 255
Answer(s): (a) 174; (b) 255