Three girls, Yen, Natalie and Esther had a total of 3540 stickers. Some exchanges were made. First, Yen gave Natalie as many stickers as Natalie had. After that, Natalie gave
13 of whatever she had then to Esther. Finally, Esther gave
15 of whatever she had to Yen. As a result, they each had the same number of stickers. How many stickers did Yen have at first?
|
Yen |
Natalie |
Esther |
Total |
Before 1 |
? |
1 u |
|
3540 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
3 p |
|
3540 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
2 p |
|
|
Before 3 |
|
|
5 boxes |
3540 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
4 boxes |
|
After 3 |
1 group |
1 group |
1 group |
3540 |
3 groups = 3540
1 group = 3540 ÷ 3 = 1180
1 group = 4 boxes 4 boxes = 1180
1 box = 1180 ÷ 4 = 295
2 p = 1 group
1 p = 1180 ÷ 2 = 590
3 p = 3 x 590 = 1770
3 p = 2 u
2 u = 1770
1 u = 1770 ÷ 2 = 885
Number of stickers that Yen had at first
= 1 group - 1 box + 1 u
= 1180 - 295 + 885
= 1770
Answer(s): 1770