Nick and Ahmad had 112 files together. Nick had 24 more files than Ahmad. Both of them sold some of their files. Ahmad sold 30% less files than what Nick sold. In the end, Ahmad had half as many files left as Nick. How many files had Nick left?
| |
Nick
(1) |
Ahmad
(2) |
Make p the same
(2)x2 = (3) |
Comparing Nick
and Ahmad at first |
24 more |
|
|
| Before |
68 |
44 |
88 |
| Change |
- 10 u |
- 7 u |
- 14 u |
| After |
2 p |
1 p |
2 p |
Number of files that Ahmad had at first
= (112 - 24) ÷ 2
= 88 ÷ 2
= 44
Number of files that Nick had at first
= 44 + 24
= 68
Number of files that Ahmad sold in percent
= 100% - 30%
= 70%
70% =
70100 =
710 Make p the same.
(1) = (3)
68 - 10 u = 88 - 14 u
14 u - 10 u = 88 - 68
4 u = 20
1 u = 20 ÷ 4 = 5
Number of files that Nick had left
= 68 - 10 u
= 68 - 10 x 5
= 68 - 50
= 18
Answer(s): 18
