Paul and Nick had 211 files together. Paul had 41 more files than Nick. Both of them sold some of their files. Nick sold 30% less files than what Paul sold. In the end, Nick had half as many files left as Paul. How many files had Paul left?
| |
Paul
(1) |
Nick
(2) |
Make p the same
(2)x2 = (3) |
Comparing Paul
and Nick at first |
41 more |
|
|
| Before |
126 |
85 |
170 |
| Change |
- 10 u |
- 7 u |
- 14 u |
| After |
2 p |
1 p |
2 p |
Number of files that Nick had at first
= (211 - 41) ÷ 2
= 170 ÷ 2
= 85
Number of files that Paul had at first
= 85 + 41
= 126
Number of files that Nick sold in percent
= 100% - 30%
= 70%
70% =
70100 =
710 Make p the same.
(1) = (3)
126 - 10 u = 170 - 14 u
14 u - 10 u = 170 - 126
4 u = 44
1 u = 44 ÷ 4 = 11
Number of files that Paul had left
= 126 - 10 u
= 126 - 10 x 11
= 126 - 110
= 16
Answer(s): 16
