Three girls, Sarah, Linda and Abi had a total of 2070 stickers. Some exchanges were made. First, Sarah gave Linda as many stickers as Linda had. After that, Linda gave
14 of whatever she had then to Abi. Finally, Abi gave
13 of whatever she had to Sarah. As a result, they each had the same number of stickers. How many stickers did Sarah have at first?
|
Sarah |
Linda |
Abi |
Total |
Before 1 |
? |
1 u |
|
2070 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
4 p |
|
2070 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
3 p |
|
|
Before 3 |
|
|
3 boxes |
2070 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
2 boxes |
|
After 3 |
1 group |
1 group |
1 group |
2070 |
3 groups = 2070
1 group = 2070 ÷ 3 = 690
1 group = 2 boxes 2 boxes = 690
1 box = 690 ÷ 2 = 345
3 p = 1 group
1 p = 690 ÷ 3 = 230
4 p = 4 x 230 = 920
4 p = 2 u
2 u = 920
1 u = 920 ÷ 2 = 460
Number of stickers that Sarah had at first
= 1 group - 1 box + 1 u
= 690 - 345 + 460
= 805
Answer(s): 805