Gwen and Tammy have some stickers. If Gwen gives 37 stickers to Tammy, Tammy will have 4 times the number of stickers as Gwen. If Tammy gives 33 stickers to Gwen, Gwen will have
35 as many stickers as Tammy. How many stickers does Gwen have at first?
| |
Case 1 |
Case 2 |
| |
Gwen |
Tammy |
Gwen |
Tammy |
| Before |
8 u + 37 |
32 u - 37 |
15 u - 33 |
25 u + 33 |
| Change |
- 37 |
+ 37 |
+ 33 |
- 33 |
| 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 Gwen had at first is the same in both cases.
15 u - 33 = 8 u + 37
15 u - 8 u = 37 + 33
7 u = 70
1 u = 10
Number of stickers that Gwen had at first
= 8 u + 37
= 8 x 10 + 37
= 80 + 37
= 117
Answer(s): 117
