Three girls, Sabrina, Nora and Abi had a total of 2700 beads. Some exchanges were made. First, Sabrina gave Nora as many beads as Nora had. After that, Nora gave
14 of whatever she had then to Abi. Finally, Abi gave
13 of whatever she had to Sabrina. As a result, they each had the same number of beads. How many beads did Sabrina have at first?
|
Sabrina |
Nora |
Abi |
Total |
Before 1 |
? |
1 u |
|
2700 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
4 p |
|
2700 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
3 p |
|
|
Before 3 |
|
|
3 boxes |
2700 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
2 boxes |
|
After 3 |
1 group |
1 group |
1 group |
2700 |
3 groups = 2700
1 group = 2700 ÷ 3 = 900
1 group = 2 boxes 2 boxes = 900
1 box = 900 ÷ 2 = 450
3 p = 1 group
1 p = 900 ÷ 3 = 300
4 p = 4 x 300 = 1200
4 p = 2 u
2 u = 1200
1 u = 1200 ÷ 2 = 600
Number of beads that Sabrina had at first
= 1 group - 1 box + 1 u
= 900 - 450 + 600
= 1050
Answer(s): 1050