In a shop, the number of files was
13 of the total number of files and pens together. Flynn sold the files and pens in sets of 2 files and 10 pens. After selling all the pens, he still had 6 files left. How many files were in the shop at first?
| |
Files |
Pens |
| Before |
1x5 =
5 u |
2x5 =
10 u |
| Change |
- 2x1 =
- 2 u |
- 10x1 =
- 10 u |
| After |
6 |
0 |
Since all the pens were sold, the number of pens at first and the number of pens sold were the same. Make the number of pens at first and sold the same. LCM of 2 and 10 is 10.
Number of files sold
= 5 u - 2 u
= 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Number of files at first
= 5 u
= 5 x 2
= 10
Answer(s): 10
