Three girls, Xandra, Fiona and Roshel had a total of 4800 stickers. Some exchanges were made. First, Xandra gave Fiona as many stickers as Fiona had. After that, Fiona gave
13 of whatever she had then to Roshel. Finally, Roshel gave
15 of whatever she had to Xandra. As a result, they each had the same number of stickers. How many stickers did Xandra have at first?
|
Xandra |
Fiona |
Roshel |
Total |
Before 1 |
? |
1 u |
|
4800 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
3 p |
|
4800 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
2 p |
|
|
Before 3 |
|
|
5 boxes |
4800 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
4 boxes |
|
After 3 |
1 group |
1 group |
1 group |
4800 |
3 groups = 4800
1 group = 4800 ÷ 3 = 1600
1 group = 4 boxes 4 boxes = 1600
1 box = 1600 ÷ 4 = 400
2 p = 1 group
1 p = 1600 ÷ 2 = 800
3 p = 3 x 800 = 2400
3 p = 2 u
2 u = 2400
1 u = 2400 ÷ 2 = 1200
Number of stickers that Xandra had at first
= 1 group - 1 box + 1 u
= 1600 - 400 + 1200
= 2400
Answer(s): 2400