Vanessa had four containers, L, M, N and P which contained a total of 303 kiwis. She transferred 5 kiwis from Container L to Container M, 10 kiwis from Container M to Container N and 25 kiwis from Container N to Container P. The ratio of the number of kiwis in Container L to Container M to Container N changed from 1 : 3 : 5 to 1 : 5 : 7. How many kiwis were in Container P at first?
|
Make p the same (1)x5 = (3) |
L (1) |
M (2) |
N
|
P
|
Before |
5 u |
1 u |
3 u |
5 u |
? |
Change 1 |
- 25 |
- 5 |
+ 5 |
|
|
Change 2 |
|
|
- 10 |
+ 10 |
|
Change 3 |
|
|
|
- 25 |
+ 25 |
After |
5 p |
1 p |
5 p |
7 p |
? |
1 u - 5 = 1 p --- (1)
3 u + 5 - 10 = 5 p
3 u - 5 =
5 p --- (2)
(1)
x 5 5 u - 25 =
5 p --- (3)
Make p the same.
(3) = (2)
5 u - 25 = 3 u - 5
5 u - 3 u = 25 - 5
2 u = 20
1 u = 20 ÷ 2 = 10
Total number of kiwis in Container L, Container M and Container N
= 1 u + 3 u + 5 u
= 9 u
Total number of kiwis in Container P at first
= 303 - 9 u
= 303 - 9 x 10
= 303 - 90
= 213
Answer(s): 213