Three girls, Julie, Esther and Kimberly had a total of 720 stickers. Some exchanges were made. First, Julie gave Esther as many stickers as Esther had. After that, Esther gave
14 of whatever she had then to Kimberly. Finally, Kimberly gave
15 of whatever she had to Julie. As a result, they each had the same number of stickers. How many stickers did Julie have at first?
|
Julie |
Esther |
Kimberly |
Total |
Before 1 |
? |
1 u |
|
720 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
4 p |
|
720 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
3 p |
|
|
Before 3 |
|
|
5 boxes |
720 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
4 boxes |
|
After 3 |
1 group |
1 group |
1 group |
720 |
3 groups = 720
1 group = 720 ÷ 3 = 240
1 group = 4 boxes 4 boxes = 240
1 box = 240 ÷ 4 = 60
3 p = 1 group
1 p = 240 ÷ 3 = 80
4 p = 4 x 80 = 320
4 p = 2 u
2 u = 320
1 u = 320 ÷ 2 = 160
Number of stickers that Julie had at first
= 1 group - 1 box + 1 u
= 240 - 60 + 160
= 340
Answer(s): 340