Three girls, Yoko, Gillian and Jaslyn had a total of 2700 pens. Some exchanges were made. First, Yoko gave Gillian as many pens as Gillian had. After that, Gillian gave
14 of whatever she had then to Jaslyn. Finally, Jaslyn gave
15 of whatever she had to Yoko. As a result, they each had the same number of pens. How many pens did Yoko have at first?
|
Yoko |
Gillian |
Jaslyn |
Total |
Before 1 |
? |
1 u |
|
2700 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
4 p |
|
2700 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
3 p |
|
|
Before 3 |
|
|
5 boxes |
2700 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
4 boxes |
|
After 3 |
1 group |
1 group |
1 group |
2700 |
3 groups = 2700
1 group = 2700 ÷ 3 = 900
1 group = 4 boxes 4 boxes = 900
1 box = 900 ÷ 4 = 225
3 p = 1 group
1 p = 900 ÷ 3 = 300
4 p = 4 x 300 = 1200
4 p = 2 u
2 u = 1200
1 u = 1200 ÷ 2 = 600
Number of pens that Yoko had at first
= 1 group - 1 box + 1 u
= 900 - 225 + 600
= 1275
Answer(s): 1275