Three girls, Jen, Yen and Lynn had a total of 1560 stickers. Some exchanges were made. First, Jen gave Yen as many stickers as Yen had. After that, Yen gave
13 of whatever she had then to Lynn. Finally, Lynn gave
13 of whatever she had to Jen. As a result, they each had the same number of stickers. How many stickers did Jen have at first?
|
Jen |
Yen |
Lynn |
Total |
Before 1 |
? |
1 u |
|
1560 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
3 p |
|
1560 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
2 p |
|
|
Before 3 |
|
|
3 boxes |
1560 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
2 boxes |
|
After 3 |
1 group |
1 group |
1 group |
1560 |
3 groups = 1560
1 group = 1560 ÷ 3 = 520
1 group = 2 boxes 2 boxes = 520
1 box = 520 ÷ 2 = 260
2 p = 1 group
1 p = 520 ÷ 2 = 260
3 p = 3 x 260 = 780
3 p = 2 u
2 u = 780
1 u = 780 ÷ 2 = 390
Number of stickers that Jen had at first
= 1 group - 1 box + 1 u
= 520 - 260 + 390
= 650
Answer(s): 650