Three girls, Usha, Eva and Risa had a total of 1350 stickers. Some exchanges were made. First, Usha gave Eva as many stickers as Eva had. After that, Eva gave
14 of whatever she had then to Risa. Finally, Risa gave
14 of whatever she had to Usha. As a result, they each had the same number of stickers. How many stickers did Usha have at first?
|
Usha |
Eva |
Risa |
Total |
Before 1 |
? |
1 u |
|
1350 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
4 p |
|
1350 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
3 p |
|
|
Before 3 |
|
|
4 boxes |
1350 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
3 boxes |
|
After 3 |
1 group |
1 group |
1 group |
1350 |
3 groups = 1350
1 group = 1350 ÷ 3 = 450
1 group = 3 boxes 3 boxes = 450
1 box = 450 ÷ 3 = 150
3 p = 1 group
1 p = 450 ÷ 3 = 150
4 p = 4 x 150 = 600
4 p = 2 u
2 u = 600
1 u = 600 ÷ 2 = 300
Number of stickers that Usha had at first
= 1 group - 1 box + 1 u
= 450 - 150 + 300
= 600
Answer(s): 600