Three girls, Victoria, Lucy and Irene had a total of 5520 stickers. Some exchanges were made. First, Victoria gave Lucy as many stickers as Lucy had. After that, Lucy gave
15 of whatever she had then to Irene. Finally, Irene gave
13 of whatever she had to Victoria. As a result, they each had the same number of stickers. How many stickers did Victoria have at first?
|
Victoria |
Lucy |
Irene |
Total |
Before 1 |
? |
1 u |
|
5520 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
5 p |
|
5520 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
4 p |
|
|
Before 3 |
|
|
3 boxes |
5520 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
2 boxes |
|
After 3 |
1 group |
1 group |
1 group |
5520 |
3 groups = 5520
1 group = 5520 ÷ 3 = 1840
1 group = 2 boxes 2 boxes = 1840
1 box = 1840 ÷ 2 = 920
4 p = 1 group
1 p = 1840 ÷ 4 = 460
5 p = 5 x 460 = 2300
5 p = 2 u
2 u = 2300
1 u = 2300 ÷ 2 = 1150
Number of stickers that Victoria had at first
= 1 group - 1 box + 1 u
= 1840 - 920 + 1150
= 2070
Answer(s): 2070