Fiona and Tiffany have some stamps. If Fiona gives 34 stamps to Tiffany, Tiffany will have 3 times the number of stamps as Fiona. If Tiffany gives 23 stamps to Fiona, Fiona will have
23 as many stamps as Tiffany. How many stamps does Fiona have at first?
| |
Case 1 |
Case 2 |
| |
Fiona |
Tiffany |
Fiona |
Tiffany |
| Before |
5 u + 34 |
15 u - 34 |
8 u - 23 |
12 u + 23 |
| Change |
- 34 |
+ 34 |
+ 23 |
- 23 |
| 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 Fiona had at first is the same in both cases.
8 u - 23 = 5 u + 34
8 u - 5 u = 34 + 23
3 u = 57
1 u = 19
Number of stamps that Fiona had at first
= 5 u + 34
= 5 x 19 + 34
= 95 + 34
= 129
Answer(s): 129
