Jaslyn and Penelope had a total of 96 stickers. Penelope gave
15 of her stickers to Jaslyn. In return, Jaslyn gave
17 of the total number of stickers that she had to Penelope. In the end, each girl had the same number of stickers. How many stickers did Jaslyn have at first?
|
Jaslyn |
Penelope |
Total |
Before 1 |
? |
5 u |
96 |
Change 1 |
+ 1 u |
- 1 u |
|
After 1 |
56 |
4 u |
96 |
Before 2 |
7 p |
4 u |
96 |
Change 2 |
- 1 p |
+ 1 p |
|
After 2 |
6 p (48) |
48 |
96 |
Since Penelope gave some stickers to Jaslyn and Jaslyn then gave some stickers to Penelope, it is an internal transfer of stickers between the two girls. So, the total number of stickers remains unchanged.
Number of stickers that Penelope and Jaslyn each had in the end is the same.
Number of stickers that Jaslyn had in the end
= 96 ÷ 2
= 48
Number of stickers that Jaslyn had in the end = 6 p
6 p = 48
1 p = 48 ÷ 6 = 8
Number of stickers that Jaslyn had after receiving some stickers from Penelope
= 7 p
= 7 x 8
= 56
Number of stickers that Penelope had after giving to Jaslyn
= 96 - 56
= 40
4 u = 40
1 u = 40 ÷ 4 = 10
Number of stickers that Penelope had at first
= 5 u
= 5 x 10
= 50
Number of stickers that Jaslyn had at first
= 96 - 50
= 46
Answer(s): 46