There were some beads in Box W and Box X. After John transferred
35 of the beads from Box W to Box X, the ratio of the number of beads in Box W to that in Box X changed to 1 : 5. Find the ratio of the numbers of beads in Box W to the number of beads in Box X at first.
|
Box W |
Box X |
Before |
5x1 = 5 u |
7 u |
Change |
- 3x1 = - 3 u |
+ 3 u |
After |
2x1 = 2 u |
|
Comparing Box W and Box X in the end |
1x2 = 2 u |
5x2 = 10 u |
The number of beads in Box W in the end is repeated. Make the number of beads in Box W in the end the same. LCM of 2 and 1 is 2.
At first
Box W : Box X
5 : 7
Answer(s): 5 : 7