Three girls, Julie, Dana and Nicole had a total of 2160 beads. Some exchanges were made. First, Julie gave Dana as many beads as Dana had. After that, Dana gave
15 of whatever she had then to Nicole. Finally, Nicole gave
13 of whatever she had to Julie. As a result, they each had the same number of beads. How many beads did Julie have at first?
|
Julie |
Dana |
Nicole |
Total |
Before 1 |
? |
1 u |
|
2160 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
5 p |
|
2160 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
4 p |
|
|
Before 3 |
|
|
3 boxes |
2160 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
2 boxes |
|
After 3 |
1 group |
1 group |
1 group |
2160 |
3 groups = 2160
1 group = 2160 ÷ 3 = 720
1 group = 2 boxes 2 boxes = 720
1 box = 720 ÷ 2 = 360
4 p = 1 group
1 p = 720 ÷ 4 = 180
5 p = 5 x 180 = 900
5 p = 2 u
2 u = 900
1 u = 900 ÷ 2 = 450
Number of beads that Julie had at first
= 1 group - 1 box + 1 u
= 720 - 360 + 450
= 810
Answer(s): 810