Xylia and Xandra have some stamps. If Xylia gives 16 stamps to Xandra, Xandra will have 4 times the number of stamps as Xylia. If Xandra gives 12 stamps to Xylia, Xylia will have
35 as many stamps as Xandra. How many stamps does Xylia have at first?
|
Case 1 |
Case 2 |
|
Xylia |
Xandra |
Xylia |
Xandra |
Before |
8 u + 16 |
32 u - 16 |
15 u - 12 |
25 u + 12 |
Change |
- 16 |
+ 16 |
+ 12 |
- 12 |
After |
1x8 = 8 u |
4x8 = 32 u |
3x5 = 15 u |
5x5 = 25 u |
The total number of stamps in both cases remains unchanged. Make the total number of stamps in both cases the same. LCM of 5 and 8 is 40.
Number of stamps that Xylia had at first is the same in both cases.
15 u - 12 = 8 u + 16
15 u - 8 u = 16 + 12
7 u = 28
1 u = 4
Number of stamps that Xylia had at first
= 8 u + 16
= 8 x 4 + 16
= 32 + 16
= 48
Answer(s): 48