Risa and Tina have some stamps. If Risa gives 14 stamps to Tina, Tina will have 4 times the number of stamps as Risa. If Tina gives 126 stamps to Risa, Risa will have
35 as many stamps as Tina. How many stamps does Risa have at first?
|
Case 1 |
Case 2 |
|
Risa |
Tina |
Risa |
Tina |
Before |
8 u + 14 |
32 u - 14 |
15 u - 126 |
25 u + 126 |
Change |
- 14 |
+ 14 |
+ 126 |
- 126 |
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 Risa had at first is the same in both cases.
15 u - 126 = 8 u + 14
15 u - 8 u = 14 + 126
7 u = 140
1 u = 20
Number of stamps that Risa had at first
= 8 u + 14
= 8 x 20 + 14
= 160 + 14
= 174
Answer(s): 174