There were some beads in Box D and Box E. After Perry transferred
15 of the beads from Box D to Box E, the ratio of the number of beads in Box D to that in Box E changed to 1 : 7. Find the ratio of the numbers of beads in Box D to the number of beads in Box E at first.
| |
Box D |
Box E |
| Before |
5x1 =
5 u |
27 u |
| Change |
- 1x1 =
- 1 u |
+ 1 u |
| After |
4x1 =
4 u |
|
Comparing Box D and
Box E in the end |
1x4 =
4 u |
7x4 =
28 u |
The number of beads in Box D in the end is repeated. Make the number of beads in Box D in the end the same. LCM of 4 and 1 is 4.
At first
Box D : Box E
5 : 27
Answer(s): 5 : 27
