Victoria and Cindy had a total of 48 stickers. Cindy gave
15 of her stickers to Victoria. In return, Victoria gave
17 of the total number of stickers that she had to Cindy. In the end, each girl had the same number of stickers. How many stickers did Victoria have at first?
|
Victoria |
Cindy |
Total |
Before 1 |
? |
5 u |
48 |
Change 1 |
+ 1 u |
- 1 u |
|
After 1 |
28 |
4 u |
48 |
Before 2 |
7 p |
4 u |
48 |
Change 2 |
- 1 p |
+ 1 p |
|
After 2 |
6 p (24) |
24 |
48 |
Since Cindy gave some stickers to Victoria and Victoria then gave some stickers to Cindy, it is an internal transfer of stickers between the two girls. So, the total number of stickers remains unchanged.
Number of stickers that Cindy and Victoria each had in the end is the same.
Number of stickers that Victoria had in the end
= 48 ÷ 2
= 24
Number of stickers that Victoria had in the end = 6 p
6 p = 24
1 p = 24 ÷ 6 = 4
Number of stickers that Victoria had after receiving some stickers from Cindy
= 7 p
= 7 x 4
= 28
Number of stickers that Cindy had after giving to Victoria
= 48 - 28
= 20
4 u = 20
1 u = 20 ÷ 4 = 5
Number of stickers that Cindy had at first
= 5 u
= 5 x 5
= 25
Number of stickers that Victoria had at first
= 48 - 25
= 23
Answer(s): 23