Jack and Warren had 117 files together. Warren had 3 less files than Jack. Both of them sold some of their files. Warren sold 25% more files than what Jack sold. In the end, Warren had half as many files left as Jack. How many files had Warren left?
| |
Jack
(1) |
Warren
(2) |
Make p the same
(2)x2 = (3) |
Comparing Jack
and Warren at first |
3 more |
|
|
| Before |
60 |
57 |
114 |
| Change |
- 4 u |
- 5 u |
- 10 u |
| After |
2 p |
1 p |
2 p |
Number of files that Warren had at first
= (117 - 3) ÷ 2
= 114 ÷ 2
= 57
Number of files that Jack had at first
= 57 + 3
= 60
Number of files that Warren sold in percent
= 100% + 25%
= 125%
125% =
125100 =
54 Make p the same.
(1) = (3)
60 - 4 u = 114 - 10 u
10 u - 4 u = 114 - 60
6 u = 54
1 u = 54 ÷ 6 = 9
Number of files that Warren had left
= 57 - 5 u
= 57 - 5 x 9
= 57 - 45
= 12
Answer(s): 12
