Nick had 6 times as many stamps as Ethan at first. Then each of them bought an equal number of new stamps. In the end, Ethan had 20 stamps and Nick had 3 times as many stamps as Ethan. How many stamps did both of them buy altogether?
| |
Nick |
Ethan |
Difference |
| Before |
6x2 =
12 u |
1x2 =
2 u |
5x2 =
10 u |
| Change |
+ ? |
+ ? |
|
| After |
3x5 =
15 u |
1x5 =
5 u |
2x5 =
10 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 2 is 10.
Number of stamps that Ethan had in the end = 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
Number of stamps that Nick bought
= 15 u - 12 u
= 3 u
Number of stamps that both of them bought altogether
= 2 x 3 u
= 6 u
= 6 x 4
= 24
Answer(s): 24
