Penelope spent
37 of her money on 6 rulers and 7 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 Penelope buy altogether?
6 rulers and 7 files |
Remaining amount |
3x3 |
4x3 |
|
More files |
Left |
|
1x2 |
5x2 |
9 p |
2 p |
10 p |
Cost of 1 ruler = 1 u
Cost of 1 file = 3 u
Cost of 6 rulers = 6 x 1 u = 6 u
Cost of 7 files = 7 x 3 u = 21 u
Total cost of 6 rulers and 7 files
= 6 u + 21 u
= 27 u
9 p = 27 u
1 p = 27 ÷ 9 = 3 u
Amount that Penelope used to buy more files
= 2 p
= 2 x 3 u
= 6 u
Number of more files that Penelope bought
= 6 u ÷ 3 u
= 2
Total number of files that Penelope bought
= 7 + 2
= 9
Answer(s): 9