Sarah and Zara have some stickers. If Sarah gives 16 stickers to Zara, Zara will have 4 times the number of stickers as Sarah. If Zara gives 124 stickers to Sarah, Sarah will have
35 as many stickers as Zara. How many stickers does Sarah have at first?
|
Case 1 |
Case 2 |
|
Sarah |
Zara |
Sarah |
Zara |
Before |
8 u + 16 |
32 u - 16 |
15 u - 124 |
25 u + 124 |
Change |
- 16 |
+ 16 |
+ 124 |
- 124 |
After |
1x8 = 8 u |
4x8 = 32 u |
3x5 = 15 u |
5x5 = 25 u |
The total number of stickers in both cases remains unchanged. Make the total number of stickers in both cases the same. LCM of 5 and 8 is 40.
Number of stickers that Sarah had at first is the same in both cases.
15 u - 124 = 8 u + 16
15 u - 8 u = 16 + 124
7 u = 140
1 u = 20
Number of stickers that Sarah had at first
= 8 u + 16
= 8 x 20 + 16
= 160 + 16
= 176
Answer(s): 176