Three girls, Victoria, Dana and Usha had a total of 1800 erasers. Some exchanges were made. First, Victoria gave Dana as many erasers as Dana had. After that, Dana gave
15 of whatever she had then to Usha. Finally, Usha gave
14 of whatever she had to Victoria. As a result, they each had the same number of erasers. How many erasers did Victoria have at first?
|
Victoria |
Dana |
Usha |
Total |
Before 1 |
? |
1 u |
|
1800 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
5 p |
|
1800 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
4 p |
|
|
Before 3 |
|
|
4 boxes |
1800 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
3 boxes |
|
After 3 |
1 group |
1 group |
1 group |
1800 |
3 groups = 1800
1 group = 1800 ÷ 3 = 600
1 group = 3 boxes 3 boxes = 600
1 box = 600 ÷ 3 = 200
4 p = 1 group
1 p = 600 ÷ 4 = 150
5 p = 5 x 150 = 750
5 p = 2 u
2 u = 750
1 u = 750 ÷ 2 = 375
Number of erasers that Victoria had at first
= 1 group - 1 box + 1 u
= 600 - 200 + 375
= 775
Answer(s): 775