Three girls, Gabby, Xuan and Kylie had a total of 4410 beads. Some exchanges were made. First, Gabby gave Xuan as many beads as Xuan had. After that, Xuan gave
14 of whatever she had then to Kylie. Finally, Kylie gave
13 of whatever she had to Gabby. As a result, they each had the same number of beads. How many beads did Gabby have at first?
|
Gabby |
Xuan |
Kylie |
Total |
Before 1 |
? |
1 u |
|
4410 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
4 p |
|
4410 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
3 p |
|
|
Before 3 |
|
|
3 boxes |
4410 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
2 boxes |
|
After 3 |
1 group |
1 group |
1 group |
4410 |
3 groups = 4410
1 group = 4410 ÷ 3 = 1470
1 group = 2 boxes 2 boxes = 1470
1 box = 1470 ÷ 2 = 735
3 p = 1 group
1 p = 1470 ÷ 3 = 490
4 p = 4 x 490 = 1960
4 p = 2 u
2 u = 1960
1 u = 1960 ÷ 2 = 980
Number of beads that Gabby had at first
= 1 group - 1 box + 1 u
= 1470 - 735 + 980
= 1715
Answer(s): 1715