Will and Jeremy had 71 files together. Jeremy had 5 less files than Will. Both of them sold some of their files. Jeremy sold 20% more files than what Will sold. In the end, Jeremy had half as many files left as Will. How many files had Jeremy left?
|
Will (1) |
Jeremy (2) |
Make p the same (2)x2 = (3) |
Comparing Will and Jeremy at first |
5 more |
|
|
Before |
38 |
33 |
66 |
Change |
- 5 u |
- 6 u |
- 12 u |
After |
2 p |
1 p |
2 p |
Number of files that Jeremy had at first
= (71 - 5) ÷ 2
= 66 ÷ 2
= 33
Number of files that Will had at first
= 33 + 5
= 38
Number of files that Jeremy sold in percent
= 100% + 20%
= 120%
120% =
120100 =
65 Make p the same.
(1) = (3)
38 - 5 u = 66 - 12 u
12 u - 5 u = 66 - 38
7 u = 28
1 u = 28 ÷ 7 = 4
Number of files that Jeremy had left
= 33 - 6 u
= 33 - 6 x 4
= 33 - 24
= 9
Answer(s): 9