Gillian had four containers, T, U, V and W which contained a total of 301 kiwis. She transferred 21 kiwis from Container T to Container U, 25 kiwis from Container U to Container V and 9 kiwis from Container V to Container W. The ratio of the number of kiwis in Container T to Container U to Container V changed from 4 : 6 : 9 to 1 : 4 : 8. How many kiwis were in Container W at first?
| |
Make p the same
(1)x4 = (3) |
T
(1) |
U
(2) |
V
|
W
|
| Before |
16 u |
4 u |
6 u |
9 u |
? |
| Change 1 |
- 84 |
- 21 |
+ 21 |
|
|
| Change 2 |
|
|
- 25 |
+ 25 |
|
| Change 3 |
|
|
|
- 9 |
+ 9 |
| After |
4 p |
1 p |
4 p |
8 p |
? |
4 u - 21 = 1 p --- (1)
6 u + 21 - 25 = 4 p
6 u - 4 =
4 p --- (2)
(1)
x 4 16 u - 84 =
4 p --- (3)
Make p the same.
(3) = (2)
16 u - 84 = 6 u - 4
16 u - 6 u = 84 - 4
10 u = 80
1 u = 80 ÷ 10 = 8
Total number of kiwis in Container T, Container U and Container V
= 4 u + 6 u + 9 u
= 19 u
Total number of kiwis in Container W at first
= 301 - 19 u
= 301 - 19 x 8
= 301 - 152
= 149
Answer(s): 149
