Fabian had 5 times as many stamps as Asher at first. Then each of them bought an equal number of new stamps. In the end, Asher had 20 stamps and Fabian had 3 times as many stamps as Asher. How many stamps did both of them buy altogether?
| |
Fabian |
Asher |
Difference |
| Before |
5x1 =
5 u |
1x1 =
1 u |
4x1 =
4 u |
| Change |
+ ? |
+ ? |
|
| After |
3x2 =
6 u |
1x2 =
2 u |
2x2 =
4 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 4 and 2 is 4.
Number of stamps that Asher had in the end = 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Number of stamps that Fabian bought
= 6 u - 5 u
= 1 u
Number of stamps that both of them bought altogether
= 2 x 1 u
= 2 u
= 2 x 10
= 20
Answer(s): 20
