Tiffany and Wendy have some stamps. If Tiffany gives 27 stamps to Wendy, Wendy will have 5 times the number of stamps as Tiffany. If Wendy gives 50 stamps to Tiffany, Tiffany will have
23 as many stamps as Wendy. How many stamps does Tiffany have at first?
| |
Case 1 |
Case 2 |
| |
Tiffany |
Wendy |
Tiffany |
Wendy |
| Before |
5 u + 27 |
25 u - 27 |
12 u - 50 |
18 u + 50 |
| Change |
- 27 |
+ 27 |
+ 50 |
- 50 |
| After |
1x5 =
5 u |
5x5 =
25 u |
2x6 =
12 u |
3x6 =
18 u |
The total number of stamps in both cases remains unchanged. Make the total number of stamps in both cases the same. LCM of 6 and 5 is 30.
Number of stamps that Tiffany had at first is the same in both cases.
12 u - 50 = 5 u + 27
12 u - 5 u = 27 + 50
7 u = 77
1 u = 11
Number of stamps that Tiffany had at first
= 5 u + 27
= 5 x 11 + 27
= 55 + 27
= 82
Answer(s): 82
