Three girls, Emma, Gabby and Nicole had a total of 4440 erasers. Some exchanges were made. First, Emma gave Gabby as many erasers as Gabby had. After that, Gabby gave
15 of whatever she had then to Nicole. Finally, Nicole gave
15 of whatever she had to Emma. As a result, they each had the same number of erasers. How many erasers did Emma have at first?
|
Emma |
Gabby |
Nicole |
Total |
Before 1 |
? |
1 u |
|
4440 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
5 p |
|
4440 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
4 p |
|
|
Before 3 |
|
|
5 boxes |
4440 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
4 boxes |
|
After 3 |
1 group |
1 group |
1 group |
4440 |
3 groups = 4440
1 group = 4440 ÷ 3 = 1480
1 group = 4 boxes 4 boxes = 1480
1 box = 1480 ÷ 4 = 370
4 p = 1 group
1 p = 1480 ÷ 4 = 370
5 p = 5 x 370 = 1850
5 p = 2 u
2 u = 1850
1 u = 1850 ÷ 2 = 925
Number of erasers that Emma had at first
= 1 group - 1 box + 1 u
= 1480 - 370 + 925
= 2035
Answer(s): 2035