Three girls, Wendy, Opal and Roshel had a total of 3240 pens. Some exchanges were made. First, Wendy gave Opal as many pens as Opal had. After that, Opal gave
15 of whatever she had then to Roshel. Finally, Roshel gave
14 of whatever she had to Wendy. As a result, they each had the same number of pens. How many pens did Wendy have at first?
|
Wendy |
Opal |
Roshel |
Total |
Before 1 |
? |
1 u |
|
3240 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
5 p |
|
3240 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
4 p |
|
|
Before 3 |
|
|
4 boxes |
3240 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
3 boxes |
|
After 3 |
1 group |
1 group |
1 group |
3240 |
3 groups = 3240
1 group = 3240 ÷ 3 = 1080
1 group = 3 boxes 3 boxes = 1080
1 box = 1080 ÷ 3 = 360
4 p = 1 group
1 p = 1080 ÷ 4 = 270
5 p = 5 x 270 = 1350
5 p = 2 u
2 u = 1350
1 u = 1350 ÷ 2 = 675
Number of pens that Wendy had at first
= 1 group - 1 box + 1 u
= 1080 - 360 + 675
= 1395
Answer(s): 1395