Ryan and Zane had 37 files together. Ryan had 11 more files than Zane. Both of them sold some of their files. Zane sold 40% less files than what Ryan sold. In the end, Zane had half as many files left as Ryan. How many files had Ryan left?
| |
Ryan
(1) |
Zane
(2) |
Make p the same
(2)x2 = (3) |
Comparing Ryan
and Zane at first |
11 more |
|
|
| Before |
24 |
13 |
26 |
| Change |
- 5 u |
- 3 u |
- 6 u |
| After |
2 p |
1 p |
2 p |
Number of files that Zane had at first
= (37 - 11) ÷ 2
= 26 ÷ 2
= 13
Number of files that Ryan had at first
= 13 + 11
= 24
Number of files that Zane sold in percent
= 100% - 40%
= 60%
60% =
60100 =
35 Make p the same.
(1) = (3)
24 - 5 u = 26 - 6 u
6 u - 5 u = 26 - 24
1 u = 2
1 u = 2 ÷ 1 = 2
Number of files that Ryan had left
= 24 - 5 u
= 24 - 5 x 2
= 24 - 10
= 14
Answer(s): 14
