Valen had 6 times as many stamps as Archie at first. Then each of them bought an equal number of new stamps. In the end, Archie had 20 stamps and Valen had 5 times as many stamps as Archie. How many stamps did both of them buy altogether?
| |
Valen |
Archie |
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 Archie had in the end = 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
Number of stamps that Valen bought
= 25 u - 24 u
= 1 u
Number of stamps that both of them bought altogether
= 2 x 1 u
= 2 u
= 2 x 4
= 8
Answer(s): 8
