Three girls, Fiona, Natalie and Xuan had a total of 4140 stickers. Some exchanges were made. First, Fiona gave Natalie as many stickers as Natalie had. After that, Natalie gave
13 of whatever she had then to Xuan. Finally, Xuan gave
14 of whatever she had to Fiona. As a result, they each had the same number of stickers. How many stickers did Fiona have at first?
|
Fiona |
Natalie |
Xuan |
Total |
Before 1 |
? |
1 u |
|
4140 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
3 p |
|
4140 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
2 p |
|
|
Before 3 |
|
|
4 boxes |
4140 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
3 boxes |
|
After 3 |
1 group |
1 group |
1 group |
4140 |
3 groups = 4140
1 group = 4140 ÷ 3 = 1380
1 group = 3 boxes 3 boxes = 1380
1 box = 1380 ÷ 3 = 460
2 p = 1 group
1 p = 1380 ÷ 2 = 690
3 p = 3 x 690 = 2070
3 p = 2 u
2 u = 2070
1 u = 2070 ÷ 2 = 1035
Number of stickers that Fiona had at first
= 1 group - 1 box + 1 u
= 1380 - 460 + 1035
= 1955
Answer(s): 1955