Valen had 5 times as many stamps as Peter at first. Then each of them bought an equal number of new stamps. In the end, Peter had 24 stamps and Valen had 4 times as many stamps as Peter. How many stamps did both of them buy altogether?
| |
Valen |
Peter |
Difference |
| Before |
5x3 =
15 u |
1x3 =
3 u |
4x3 =
12 u |
| Change |
+ ? |
+ ? |
|
| After |
4x4 =
16 u |
1x4 =
4 u |
3x4 =
12 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 3 is 12.
Number of stamps that Peter had in the end = 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Number of stamps that Valen bought
= 16 u - 15 u
= 1 u
Number of stamps that both of them bought altogether
= 2 x 1 u
= 2 u
= 2 x 6
= 12
Answer(s): 12
