Three girls, Emily, Shannon and Dana had a total of 1080 stamps. Some exchanges were made. First, Emily gave Shannon as many stamps as Shannon had. After that, Shannon gave
14 of whatever she had then to Dana. Finally, Dana gave
15 of whatever she had to Emily. As a result, they each had the same number of stamps. How many stamps did Emily have at first?
|
Emily |
Shannon |
Dana |
Total |
Before 1 |
? |
1 u |
|
1080 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
4 p |
|
1080 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
3 p |
|
|
Before 3 |
|
|
5 boxes |
1080 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
4 boxes |
|
After 3 |
1 group |
1 group |
1 group |
1080 |
3 groups = 1080
1 group = 1080 ÷ 3 = 360
1 group = 4 boxes 4 boxes = 360
1 box = 360 ÷ 4 = 90
3 p = 1 group
1 p = 360 ÷ 3 = 120
4 p = 4 x 120 = 480
4 p = 2 u
2 u = 480
1 u = 480 ÷ 2 = 240
Number of stamps that Emily had at first
= 1 group - 1 box + 1 u
= 360 - 90 + 240
= 510
Answer(s): 510