Three girls, Roshel, Victoria and Lynn had a total of 2880 cards. Some exchanges were made. First, Roshel gave Victoria as many cards as Victoria had. After that, Victoria gave
13 of whatever she had then to Lynn. Finally, Lynn gave
14 of whatever she had to Roshel. As a result, they each had the same number of cards. How many cards did Roshel have at first?
|
Roshel |
Victoria |
Lynn |
Total |
Before 1 |
? |
1 u |
|
2880 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
3 p |
|
2880 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
2 p |
|
|
Before 3 |
|
|
4 boxes |
2880 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
3 boxes |
|
After 3 |
1 group |
1 group |
1 group |
2880 |
3 groups = 2880
1 group = 2880 ÷ 3 = 960
1 group = 3 boxes 3 boxes = 960
1 box = 960 ÷ 3 = 320
2 p = 1 group
1 p = 960 ÷ 2 = 480
3 p = 3 x 480 = 1440
3 p = 2 u
2 u = 1440
1 u = 1440 ÷ 2 = 720
Number of cards that Roshel had at first
= 1 group - 1 box + 1 u
= 960 - 320 + 720
= 1360
Answer(s): 1360