Eva and Jade have some stamps. If Eva gives 12 stamps to Jade, Jade will have 4 times the number of stamps as Eva. If Jade gives 24 stamps to Eva, Eva will have
25 as many stamps as Jade. How many stamps does Eva have at first?
|
Case 1 |
Case 2 |
|
Eva |
Jade |
Eva |
Jade |
Before |
7 u + 12 |
28 u - 12 |
10 u - 24 |
25 u + 24 |
Change |
- 12 |
+ 12 |
+ 24 |
- 24 |
After |
1x7 = 7 u |
4x7 = 28 u |
2x5 = 10 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 7 is 35.
Number of stamps that Eva had at first is the same in both cases.
10 u - 24 = 7 u + 12
10 u - 7 u = 12 + 24
3 u = 36
1 u = 12
Number of stamps that Eva had at first
= 7 u + 12
= 7 x 12 + 12
= 84 + 12
= 96
Answer(s): 96