Wendy and Min have some stickers. If Wendy gives 13 stickers to Min, Min will have 5 times the number of stickers as Wendy. If Min gives 120 stickers to Wendy, Wendy will have
23 as many stickers as Min. How many stickers does Wendy have at first?
|
Case 1 |
Case 2 |
|
Wendy |
Min |
Wendy |
Min |
Before |
5 u + 13 |
25 u - 13 |
12 u - 120 |
18 u + 120 |
Change |
- 13 |
+ 13 |
+ 120 |
- 120 |
After |
1x5 = 5 u |
5x5 = 25 u |
2x6 = 12 u |
3x6 = 18 u |
The total number of stickers in both cases remains unchanged. Make the total number of stickers in both cases the same. LCM of 6 and 5 is 30.
Number of stickers that Wendy had at first is the same in both cases.
12 u - 120 = 5 u + 13
12 u - 5 u = 13 + 120
7 u = 133
1 u = 19
Number of stickers that Wendy had at first
= 5 u + 13
= 5 x 19 + 13
= 95 + 13
= 108
Answer(s): 108