Jaslyn and Lynn had a total of 56 stamps. Lynn gave
14 of her stamps to Jaslyn. In return, Jaslyn gave
18 of the total number of stamps that she had to Lynn. In the end, each girl had the same number of stamps. How many stamps did Jaslyn have at first?
|
Jaslyn |
Lynn |
Total |
Before 1 |
? |
4 u |
56 |
Change 1 |
+ 1 u |
- 1 u |
|
After 1 |
32 |
3 u |
56 |
Before 2 |
8 p |
3 u |
56 |
Change 2 |
- 1 p |
+ 1 p |
|
After 2 |
7 p (28) |
28 |
56 |
Since Lynn gave some stamps to Jaslyn and Jaslyn then gave some stamps to Lynn, it is an internal transfer of stamps between the two girls. So, the total number of stamps remains unchanged.
Number of stamps that Lynn and Jaslyn each had in the end is the same.
Number of stamps that Jaslyn had in the end
= 56 ÷ 2
= 28
Number of stamps that Jaslyn had in the end = 7 p
7 p = 28
1 p = 28 ÷ 7 = 4
Number of stamps that Jaslyn had after receiving some stamps from Lynn
= 8 p
= 8 x 4
= 32
Number of stamps that Lynn had after giving to Jaslyn
= 56 - 32
= 24
3 u = 24
1 u = 24 ÷ 3 = 8
Number of stamps that Lynn had at first
= 4 u
= 4 x 8
= 32
Number of stamps that Jaslyn had at first
= 56 - 32
= 24
Answer(s): 24