There were some cards in Box N and Box P. After David transferred
34 of the cards from Box N to Box P, the ratio of the number of cards in Box N to that in Box P changed to 2 : 7. Find the ratio of the numbers of cards in Box P to the number of cards in Box N at first.
| |
Box N |
Box P |
| Before |
4x2 =
8 u |
1 u |
| Change |
- 3x2 =
- 6 u |
+ 6 u |
| After |
1x2 =
2 u |
|
Comparing Box N and
Box P in the end |
2x1 =
2 u |
7x1 =
7 u |
The number of cards in Box N in the end is repeated. Make the number of cards in Box N in the end the same. LCM of 1 and 2 is 2.
At first
Box P : Box N
1: 8
Answer(s): 1: 8
