Erika and Raeann have some erasers. If Erika gives 36 erasers to Raeann, Raeann will have 4 times the number of erasers as Erika. If Raeann gives 97 erasers to Erika, Erika will have
35 as many erasers as Raeann. How many erasers does Erika have at first?
|
Case 1 |
Case 2 |
|
Erika |
Raeann |
Erika |
Raeann |
Before |
8 u + 36 |
32 u - 36 |
15 u - 97 |
25 u + 97 |
Change |
- 36 |
+ 36 |
+ 97 |
- 97 |
After |
1x8 = 8 u |
4x8 = 32 u |
3x5 = 15 u |
5x5 = 25 u |
The total number of erasers in both cases remains unchanged. Make the total number of erasers in both cases the same. LCM of 5 and 8 is 40.
Number of erasers that Erika had at first is the same in both cases.
15 u - 97 = 8 u + 36
15 u - 8 u = 36 + 97
7 u = 133
1 u = 19
Number of erasers that Erika had at first
= 8 u + 36
= 8 x 19 + 36
= 152 + 36
= 188
Answer(s): 188