Paul had 6 times as many stamps as Henry at first. Then each of them bought an equal number of new stamps. In the end, Henry had 25 stamps and Paul had 5 times as many stamps as Henry. How many stamps did both of them buy altogether?
|
Paul |
Henry |
Difference |
Before |
6x4 = 24 u |
1x4 = 4 u |
5x4 = 20 u |
Change |
+ ? |
+ ? |
|
After |
5x5 = 25 u |
1x5 = 5 u |
4x5 = 20 u |
The difference in the number of stamps at first and in the end remains unchanged. Make the difference in the number of stamps at first and in the end the same. LCM of 5 and 4 is 20.
Number of stamps that Henry had in the end = 5 u
5 u = 25
1 u = 25 ÷ 5 = 5
Number of stamps that Paul bought
= 25 u - 24 u
= 1 u
Number of stamps that both of them bought altogether
= 2 x 1 u
= 2 u
= 2 x 5
= 10
Answer(s): 10