Three girls, Irene, Jean and Jane had a total of 3000 stickers. Some exchanges were made. First, Irene gave Jean as many stickers as Jean had. After that, Jean gave
13 of whatever she had then to Jane. Finally, Jane gave
15 of whatever she had to Irene. As a result, they each had the same number of stickers. How many stickers did Irene have at first?
|
Irene |
Jean |
Jane |
Total |
Before 1 |
? |
1 u |
|
3000 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
3 p |
|
3000 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
2 p |
|
|
Before 3 |
|
|
5 boxes |
3000 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
4 boxes |
|
After 3 |
1 group |
1 group |
1 group |
3000 |
3 groups = 3000
1 group = 3000 ÷ 3 = 1000
1 group = 4 boxes 4 boxes = 1000
1 box = 1000 ÷ 4 = 250
2 p = 1 group
1 p = 1000 ÷ 2 = 500
3 p = 3 x 500 = 1500
3 p = 2 u
2 u = 1500
1 u = 1500 ÷ 2 = 750
Number of stickers that Irene had at first
= 1 group - 1 box + 1 u
= 1000 - 250 + 750
= 1500
Answer(s): 1500