Three girls, Nicole, Julie and Kylie had a total of 3600 pens. Some exchanges were made. First, Nicole gave Julie as many pens as Julie had. After that, Julie gave
15 of whatever she had then to Kylie. Finally, Kylie gave
15 of whatever she had to Nicole. As a result, they each had the same number of pens. How many pens did Nicole have at first?
|
Nicole |
Julie |
Kylie |
Total |
Before 1 |
? |
1 u |
|
3600 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
5 p |
|
3600 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
4 p |
|
|
Before 3 |
|
|
5 boxes |
3600 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
4 boxes |
|
After 3 |
1 group |
1 group |
1 group |
3600 |
3 groups = 3600
1 group = 3600 ÷ 3 = 1200
1 group = 4 boxes 4 boxes = 1200
1 box = 1200 ÷ 4 = 300
4 p = 1 group
1 p = 1200 ÷ 4 = 300
5 p = 5 x 300 = 1500
5 p = 2 u
2 u = 1500
1 u = 1500 ÷ 2 = 750
Number of pens that Nicole had at first
= 1 group - 1 box + 1 u
= 1200 - 300 + 750
= 1650
Answer(s): 1650