Caden had 5 times as many white files as purple files. After giving away 6 white files and buying another 38 purple files, he had an equal number of white and purple files. How many white files did Caden have at first?
| |
White files |
Purple files |
| Before |
5 u |
1 u |
| Change |
- 6 |
+ 38 |
| After |
5 u - 6 |
1 u + 38 |
The number of white and purple files is the same in the end.
5 u - 6 = 1 u + 38
5 u - 1 u = 38 + 6
4 u = 6 + 38
4 u = 44
1 u = 44 ÷ 4 = 11
Number of white files that Caden had at first
= 5 u
= 5 x 11
= 55
Answer(s): 55
