Three girls, Tiffany, Elyse and Cathy had a total of 2640 beads. Some exchanges were made. First, Tiffany gave Elyse as many beads as Elyse had. After that, Elyse gave
13 of whatever she had then to Cathy. Finally, Cathy gave
15 of whatever she had to Tiffany. As a result, they each had the same number of beads. How many beads did Tiffany have at first?
|
Tiffany |
Elyse |
Cathy |
Total |
Before 1 |
? |
1 u |
|
2640 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
3 p |
|
2640 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
2 p |
|
|
Before 3 |
|
|
5 boxes |
2640 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
4 boxes |
|
After 3 |
1 group |
1 group |
1 group |
2640 |
3 groups = 2640
1 group = 2640 ÷ 3 = 880
1 group = 4 boxes 4 boxes = 880
1 box = 880 ÷ 4 = 220
2 p = 1 group
1 p = 880 ÷ 2 = 440
3 p = 3 x 440 = 1320
3 p = 2 u
2 u = 1320
1 u = 1320 ÷ 2 = 660
Number of beads that Tiffany had at first
= 1 group - 1 box + 1 u
= 880 - 220 + 660
= 1320
Answer(s): 1320