Three girls, Esther, Tina and Fiona had a total of 3060 stamps. Some exchanges were made. First, Esther gave Tina as many stamps as Tina had. After that, Tina gave
13 of whatever she had then to Fiona. Finally, Fiona gave
14 of whatever she had to Esther. As a result, they each had the same number of stamps. How many stamps did Esther have at first?
|
Esther |
Tina |
Fiona |
Total |
Before 1 |
? |
1 u |
|
3060 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
3 p |
|
3060 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
2 p |
|
|
Before 3 |
|
|
4 boxes |
3060 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
3 boxes |
|
After 3 |
1 group |
1 group |
1 group |
3060 |
3 groups = 3060
1 group = 3060 ÷ 3 = 1020
1 group = 3 boxes 3 boxes = 1020
1 box = 1020 ÷ 3 = 340
2 p = 1 group
1 p = 1020 ÷ 2 = 510
3 p = 3 x 510 = 1530
3 p = 2 u
2 u = 1530
1 u = 1530 ÷ 2 = 765
Number of stamps that Esther had at first
= 1 group - 1 box + 1 u
= 1020 - 340 + 765
= 1445
Answer(s): 1445