Jade and Min have some stamps. If Jade gives 21 stamps to Min, Min will have 5 times the number of stamps as Jade. If Min gives 70 stamps to Jade, Jade will have
23 as many stamps as Min. How many stamps does Jade have at first?
|
Case 1 |
Case 2 |
|
Jade |
Min |
Jade |
Min |
Before |
5 u + 21 |
25 u - 21 |
12 u - 70 |
18 u + 70 |
Change |
- 21 |
+ 21 |
+ 70 |
- 70 |
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 Jade had at first is the same in both cases.
12 u - 70 = 5 u + 21
12 u - 5 u = 21 + 70
7 u = 91
1 u = 13
Number of stamps that Jade had at first
= 5 u + 21
= 5 x 13 + 21
= 65 + 21
= 86
Answer(s): 86