Wesley and Michael had 105 files together. Michael had 3 less files than Wesley. Both of them sold some of their files. Michael sold 25% more files than what Wesley sold. In the end, Michael had half as many files left as Wesley. How many files had Michael left?
| |
Wesley
(1) |
Michael
(2) |
Make p the same
(2)x2 = (3) |
Comparing Wesley
and Michael at first |
3 more |
|
|
| Before |
54 |
51 |
102 |
| Change |
- 4 u |
- 5 u |
- 10 u |
| After |
2 p |
1 p |
2 p |
Number of files that Michael had at first
= (105 - 3) ÷ 2
= 102 ÷ 2
= 51
Number of files that Wesley had at first
= 51 + 3
= 54
Number of files that Michael sold in percent
= 100% + 25%
= 125%
125% =
125100 =
54 Make p the same.
(1) = (3)
54 - 4 u = 102 - 10 u
10 u - 4 u = 102 - 54
6 u = 48
1 u = 48 ÷ 6 = 8
Number of files that Michael had left
= 51 - 5 u
= 51 - 5 x 8
= 51 - 40
= 11
Answer(s): 11
