Julian had 5 times as many stamps as Perry at first. Then each of them bought an equal number of new stamps. In the end, Perry had 32 stamps and Julian had 4 times as many stamps as Perry. How many stamps did both of them buy altogether?
| |
Julian |
Perry |
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 Perry had in the end = 4 u
4 u = 32
1 u = 32 ÷ 4 = 8
Number of stamps that Julian bought
= 16 u - 15 u
= 1 u
Number of stamps that both of them bought altogether
= 2 x 1 u
= 2 u
= 2 x 8
= 16
Answer(s): 16
