Three girls, Wendy, Kathy and Penelope had a total of 2880 stickers. Some exchanges were made. First, Wendy gave Kathy as many stickers as Kathy had. After that, Kathy gave
15 of whatever she had then to Penelope. Finally, Penelope gave
15 of whatever she had to Wendy. As a result, they each had the same number of stickers. How many stickers did Wendy have at first?
|
Wendy |
Kathy |
Penelope |
Total |
Before 1 |
? |
1 u |
|
2880 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
5 p |
|
2880 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
4 p |
|
|
Before 3 |
|
|
5 boxes |
2880 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
4 boxes |
|
After 3 |
1 group |
1 group |
1 group |
2880 |
3 groups = 2880
1 group = 2880 ÷ 3 = 960
1 group = 4 boxes 4 boxes = 960
1 box = 960 ÷ 4 = 240
4 p = 1 group
1 p = 960 ÷ 4 = 240
5 p = 5 x 240 = 1200
5 p = 2 u
2 u = 1200
1 u = 1200 ÷ 2 = 600
Number of stickers that Wendy had at first
= 1 group - 1 box + 1 u
= 960 - 240 + 600
= 1320
Answer(s): 1320