Brandon and Zeph had 78 files together. Zeph had 2 less files than Brandon. Both of them sold some of their files. Zeph sold 25% more files than what Brandon sold. In the end, Zeph had half as many files left as Brandon. How many files had Zeph left?
| |
Brandon
(1) |
Zeph
(2) |
Make p the same
(2)x2 = (3) |
Comparing Brandon
and Zeph at first |
2 more |
|
|
| Before |
40 |
38 |
76 |
| Change |
- 4 u |
- 5 u |
- 10 u |
| After |
2 p |
1 p |
2 p |
Number of files that Zeph had at first
= (78 - 2) ÷ 2
= 76 ÷ 2
= 38
Number of files that Brandon had at first
= 38 + 2
= 40
Number of files that Zeph sold in percent
= 100% + 25%
= 125%
125% =
125100 =
54 Make p the same.
(1) = (3)
40 - 4 u = 76 - 10 u
10 u - 4 u = 76 - 40
6 u = 36
1 u = 36 ÷ 6 = 6
Number of files that Zeph had left
= 38 - 5 u
= 38 - 5 x 6
= 38 - 30
= 8
Answer(s): 8
