Neave had 3 times as many purple files as gold files. After giving away 8 purple files and buying another 4 gold files, he had an equal number of purple and gold files. How many purple files did Neave have at first?
| |
Purple files |
Gold files |
| Before |
3 u |
1 u |
| Change |
- 8 |
+ 4 |
| After |
3 u - 8 |
1 u + 4 |
The number of purple and gold files is the same in the end.
3 u - 8 = 1 u + 4
3 u - 1 u = 4 + 8
2 u = 8 + 4
2 u = 12
1 u = 12 ÷ 2 = 6
Number of purple files that Neave had at first
= 3 u
= 3 x 6
= 18
Answer(s): 18
