Three girls, Risa, Hazel and Nicole had a total of 3960 stickers. Some exchanges were made. First, Risa gave Hazel as many stickers as Hazel had. After that, Hazel gave
14 of whatever she had then to Nicole. Finally, Nicole gave
15 of whatever she had to Risa. As a result, they each had the same number of stickers. How many stickers did Risa have at first?
|
Risa |
Hazel |
Nicole |
Total |
Before 1 |
? |
1 u |
|
3960 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
4 p |
|
3960 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
3 p |
|
|
Before 3 |
|
|
5 boxes |
3960 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
4 boxes |
|
After 3 |
1 group |
1 group |
1 group |
3960 |
3 groups = 3960
1 group = 3960 ÷ 3 = 1320
1 group = 4 boxes 4 boxes = 1320
1 box = 1320 ÷ 4 = 330
3 p = 1 group
1 p = 1320 ÷ 3 = 440
4 p = 4 x 440 = 1760
4 p = 2 u
2 u = 1760
1 u = 1760 ÷ 2 = 880
Number of stickers that Risa had at first
= 1 group - 1 box + 1 u
= 1320 - 330 + 880
= 1870
Answer(s): 1870