In a book shop, the number of files was
56 of the total number of files and notebooks together. Zane sold the files and notebooks in sets of 2 files and 4 notebooks. After selling all the notebooks, he still had 162 files left. How many notebooks were in the book shop were sold?
| |
Files |
Notebooks |
| Before |
5x4 =
20 u |
1x4 =
4 u |
| Change |
- 2x1 =
- 2 u |
- 4x1 =
- 4 u |
| After |
162 |
0 |
Since all the notebooks were sold, the number of notebooks at first and the number of notebooks sold were the same. Make the number of notebooks at first and sold the same. LCM of 1 and 4 is 4.
Number of files sold
= 20 u - 2 u
= 18 u
18 u = 162
1 u = 162 ÷ 18 = 9
Number of notebooks were sold
= 4 u
= 4 x 9
= 36
Answer(s): 36
