Three girls, Min, Jen and Victoria had a total of 5880 stamps. Some exchanges were made. First, Min gave Jen as many stamps as Jen had. After that, Jen gave
15 of whatever she had then to Victoria. Finally, Victoria gave
15 of whatever she had to Min. As a result, they each had the same number of stamps. How many stamps did Min have at first?
|
Min |
Jen |
Victoria |
Total |
Before 1 |
? |
1 u |
|
5880 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
5 p |
|
5880 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
4 p |
|
|
Before 3 |
|
|
5 boxes |
5880 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
4 boxes |
|
After 3 |
1 group |
1 group |
1 group |
5880 |
3 groups = 5880
1 group = 5880 ÷ 3 = 1960
1 group = 4 boxes 4 boxes = 1960
1 box = 1960 ÷ 4 = 490
4 p = 1 group
1 p = 1960 ÷ 4 = 490
5 p = 5 x 490 = 2450
5 p = 2 u
2 u = 2450
1 u = 2450 ÷ 2 = 1225
Number of stamps that Min had at first
= 1 group - 1 box + 1 u
= 1960 - 490 + 1225
= 2695
Answer(s): 2695