Archie and Luke had 72 files together. Luke had 4 less files than Archie. Both of them sold some of their files. Luke sold 25% more files than what Archie sold. In the end, Luke had half as many files left as Archie. How many files had Luke left?
| |
Archie
(1) |
Luke
(2) |
Make p the same
(2)x2 = (3) |
Comparing Archie
and Luke at first |
4 more |
|
|
| Before |
38 |
34 |
68 |
| Change |
- 4 u |
- 5 u |
- 10 u |
| After |
2 p |
1 p |
2 p |
Number of files that Luke had at first
= (72 - 4) ÷ 2
= 68 ÷ 2
= 34
Number of files that Archie had at first
= 34 + 4
= 38
Number of files that Luke sold in percent
= 100% + 25%
= 125%
125% =
125100 =
54 Make p the same.
(1) = (3)
38 - 4 u = 68 - 10 u
10 u - 4 u = 68 - 38
6 u = 30
1 u = 30 ÷ 6 = 5
Number of files that Luke had left
= 34 - 5 u
= 34 - 5 x 5
= 34 - 25
= 9
Answer(s): 9
