Three girls, Wendy, Barbara and Linda had a total of 5220 stickers. Some exchanges were made. First, Wendy gave Barbara as many stickers as Barbara had. After that, Barbara gave
13 of whatever she had then to Linda. Finally, Linda gave
14 of whatever she had to Wendy. As a result, they each had the same number of stickers. How many stickers did Wendy have at first?
|
Wendy |
Barbara |
Linda |
Total |
Before 1 |
? |
1 u |
|
5220 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
3 p |
|
5220 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
2 p |
|
|
Before 3 |
|
|
4 boxes |
5220 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
3 boxes |
|
After 3 |
1 group |
1 group |
1 group |
5220 |
3 groups = 5220
1 group = 5220 ÷ 3 = 1740
1 group = 3 boxes 3 boxes = 1740
1 box = 1740 ÷ 3 = 580
2 p = 1 group
1 p = 1740 ÷ 2 = 870
3 p = 3 x 870 = 2610
3 p = 2 u
2 u = 2610
1 u = 2610 ÷ 2 = 1305
Number of stickers that Wendy had at first
= 1 group - 1 box + 1 u
= 1740 - 580 + 1305
= 2465
Answer(s): 2465