Three girls, Shiyun, Eva and Irene had a total of 1500 beads. Some exchanges were made. First, Shiyun gave Eva as many beads as Eva had. After that, Eva gave
13 of whatever she had then to Irene. Finally, Irene gave
15 of whatever she had to Shiyun. As a result, they each had the same number of beads. How many beads did Shiyun have at first?
|
Shiyun |
Eva |
Irene |
Total |
Before 1 |
? |
1 u |
|
1500 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
3 p |
|
1500 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
2 p |
|
|
Before 3 |
|
|
5 boxes |
1500 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
4 boxes |
|
After 3 |
1 group |
1 group |
1 group |
1500 |
3 groups = 1500
1 group = 1500 ÷ 3 = 500
1 group = 4 boxes 4 boxes = 500
1 box = 500 ÷ 4 = 125
2 p = 1 group
1 p = 500 ÷ 2 = 250
3 p = 3 x 250 = 750
3 p = 2 u
2 u = 750
1 u = 750 ÷ 2 = 375
Number of beads that Shiyun had at first
= 1 group - 1 box + 1 u
= 500 - 125 + 375
= 750
Answer(s): 750