Three girls, Tammy, Usha and Pamela had a total of 5220 stickers. Some exchanges were made. First, Tammy gave Usha as many stickers as Usha had. After that, Usha gave
14 of whatever she had then to Pamela. Finally, Pamela gave
13 of whatever she had to Tammy. As a result, they each had the same number of stickers. How many stickers did Tammy have at first?
|
Tammy |
Usha |
Pamela |
Total |
Before 1 |
? |
1 u |
|
5220 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
4 p |
|
5220 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
3 p |
|
|
Before 3 |
|
|
3 boxes |
5220 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
2 boxes |
|
After 3 |
1 group |
1 group |
1 group |
5220 |
3 groups = 5220
1 group = 5220 ÷ 3 = 1740
1 group = 2 boxes 2 boxes = 1740
1 box = 1740 ÷ 2 = 870
3 p = 1 group
1 p = 1740 ÷ 3 = 580
4 p = 4 x 580 = 2320
4 p = 2 u
2 u = 2320
1 u = 2320 ÷ 2 = 1160
Number of stickers that Tammy had at first
= 1 group - 1 box + 1 u
= 1740 - 870 + 1160
= 2030
Answer(s): 2030