Fred and Archie had 245 files together. Fred had 23 more files than Archie. Both of them sold some of their files. Archie sold 10% less files than what Fred sold. In the end, Archie had half as many files left as Fred. How many files had Fred left?
| |
Fred
(1) |
Archie
(2) |
Make p the same
(2)x2 = (3) |
Comparing Fred
and Archie at first |
23 more |
|
|
| Before |
134 |
111 |
222 |
| Change |
- 10 u |
- 9 u |
- 18 u |
| After |
2 p |
1 p |
2 p |
Number of files that Archie had at first
= (245 - 23) ÷ 2
= 222 ÷ 2
= 111
Number of files that Fred had at first
= 111 + 23
= 134
Number of files that Archie sold in percent
= 100% - 10%
= 90%
90% =
90100 =
910 Make p the same.
(1) = (3)
134 - 10 u = 222 - 18 u
18 u - 10 u = 222 - 134
8 u = 88
1 u = 88 ÷ 8 = 11
Number of files that Fred had left
= 134 - 10 u
= 134 - 10 x 11
= 134 - 110
= 24
Answer(s): 24
