Xandra spent
35 of her money on 3 pencils and 5 files. The cost of one file was thrice the cost of one pencil. She bought some more files with
14 of her remaining money. How many files did Xandra buy altogether?
3 pencils and
5 files |
Remaining amount |
| 3x2 |
2x2 |
| |
More files |
Left |
| |
1x1 |
3x1 |
| 6 p |
1 p |
3 p |
Cost of 1 pencil = 1 u
Cost of 1 file = 3 u
Cost of 3 pencils = 3 x 1 u = 3 u
Cost of 5 files = 5 x 3 u = 15 u
Total cost of 3 pencils and 5 files
= 3 u + 15 u
= 18 u
6 p = 18 u
1 p = 18 ÷ 6 = 3 u
Amount that Xandra used to buy more files
= 1 p
= 1 x 3 u
= 3 u
Number of more files that Xandra bought
= 3 u ÷ 3 u
= 1
Total number of files that Xandra bought
= 5 + 1
= 6
Answer(s): 6
