Neave and Simon had 246 files together. Simon had 2 less files than Neave. Both of them sold some of their files. Simon sold 10% more files than what Neave sold. In the end, Simon had half as many files left as Neave. How many files had Simon left?
| |
Neave
(1) |
Simon
(2) |
Make p the same
(2)x2 = (3) |
Comparing Neave
and Simon at first |
2 more |
|
|
| Before |
124 |
122 |
244 |
| Change |
- 10 u |
- 11 u |
- 22 u |
| After |
2 p |
1 p |
2 p |
Number of files that Simon had at first
= (246 - 2) ÷ 2
= 244 ÷ 2
= 122
Number of files that Neave had at first
= 122 + 2
= 124
Number of files that Simon sold in percent
= 100% + 10%
= 110%
110% =
110100 =
1110 Make p the same.
(1) = (3)
124 - 10 u = 244 - 22 u
22 u - 10 u = 244 - 124
12 u = 120
1 u = 120 ÷ 12 = 10
Number of files that Simon had left
= 122 - 11 u
= 122 - 11 x 10
= 122 - 110
= 12
Answer(s): 12
