Winnie and Sabrina have some stamps. If Winnie gives 33 stamps to Sabrina, Sabrina will have 3 times the number of stamps as Winnie. If Sabrina gives 15 stamps to Winnie, Winnie will have
23 as many stamps as Sabrina. How many stamps does Winnie have at first?
| |
Case 1 |
Case 2 |
| |
Winnie |
Sabrina |
Winnie |
Sabrina |
| Before |
5 u + 33 |
15 u - 33 |
8 u - 15 |
12 u + 15 |
| Change |
- 33 |
+ 33 |
+ 15 |
- 15 |
| After |
1x5 =
5 u |
3x5 =
15 u |
2x4 =
8 u |
3x4 =
12 u |
The total number of stamps in both cases remains unchanged. Make the total number of stamps in both cases the same. LCM of 4 and 5 is 20.
Number of stamps that Winnie had at first is the same in both cases.
8 u - 15 = 5 u + 33
8 u - 5 u = 33 + 15
3 u = 48
1 u = 16
Number of stamps that Winnie had at first
= 5 u + 33
= 5 x 16 + 33
= 80 + 33
= 113
Answer(s): 113
