Three girls, Elyse, Tiffany and Barbara had a total of 4200 beads. Some exchanges were made. First, Elyse gave Tiffany as many beads as Tiffany had. After that, Tiffany gave
15 of whatever she had then to Barbara. Finally, Barbara gave
15 of whatever she had to Elyse. As a result, they each had the same number of beads. How many beads did Elyse have at first?
|
Elyse |
Tiffany |
Barbara |
Total |
Before 1 |
? |
1 u |
|
4200 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
5 p |
|
4200 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
4 p |
|
|
Before 3 |
|
|
5 boxes |
4200 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
4 boxes |
|
After 3 |
1 group |
1 group |
1 group |
4200 |
3 groups = 4200
1 group = 4200 ÷ 3 = 1400
1 group = 4 boxes 4 boxes = 1400
1 box = 1400 ÷ 4 = 350
4 p = 1 group
1 p = 1400 ÷ 4 = 350
5 p = 5 x 350 = 1750
5 p = 2 u
2 u = 1750
1 u = 1750 ÷ 2 = 875
Number of beads that Elyse had at first
= 1 group - 1 box + 1 u
= 1400 - 350 + 875
= 1925
Answer(s): 1925