There were some cards in Box S and Box T. After Justin transferred
14 of the cards from Box S to Box T, the ratio of the number of cards in Box S to that in Box T changed to 2 : 5. Find the ratio of the numbers of cards in Box S to the number of cards in Box T at first.
| |
Box S |
Box T |
| Before |
4x2 =
8 u |
13 u |
| Change |
- 1x2 =
- 2 u |
+ 2 u |
| After |
3x2 =
6 u |
|
Comparing Box S and
Box T in the end |
2x3 =
6 u |
5x3 =
15 u |
The number of cards in Box S in the end is repeated. Make the number of cards in Box S in the end the same. LCM of 3 and 2 is 6.
At first
Box S : Box T
8 : 13
Answer(s): 8 : 13
