Jaslyn and Zoe have some erasers. If Jaslyn gives 18 erasers to Zoe, Zoe will have 4 times the number of erasers as Jaslyn. If Zoe gives 24 erasers to Jaslyn, Jaslyn will have
35 as many erasers as Zoe. How many erasers does Jaslyn have at first?
|
Case 1 |
Case 2 |
|
Jaslyn |
Zoe |
Jaslyn |
Zoe |
Before |
8 u + 18 |
32 u - 18 |
15 u - 24 |
25 u + 24 |
Change |
- 18 |
+ 18 |
+ 24 |
- 24 |
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 Jaslyn had at first is the same in both cases.
15 u - 24 = 8 u + 18
15 u - 8 u = 18 + 24
7 u = 42
1 u = 6
Number of erasers that Jaslyn had at first
= 8 u + 18
= 8 x 6 + 18
= 48 + 18
= 66
Answer(s): 66