Diana spent
35 of her money on 3 rulers and 8 files. The cost of one file was thrice the cost of one ruler. She bought some more files with
16 of her remaining money. How many files did Diana buy altogether?
3 rulers and
8 files |
Remaining amount |
| 3x3 |
2x3 |
| |
More files |
Left |
| |
1x1 |
5x1 |
| 9 p |
1 p |
5 p |
Cost of 1 ruler = 1 u
Cost of 1 file = 3 u
Cost of 3 rulers = 3 x 1 u = 3 u
Cost of 8 files = 8 x 3 u = 24 u
Total cost of 3 rulers and 8 files
= 3 u + 24 u
= 27 u
9 p = 27 u
1 p = 27 ÷ 9 = 3 u
Amount that Diana used to buy more files
= 1 p
= 1 x 3 u
= 3 u
Number of more files that Diana bought
= 3 u ÷ 3 u
= 1
Total number of files that Diana bought
= 8 + 1
= 9
Answer(s): 9
