In a book shop, the number of glues was
711 of the total number of glues and files together. Zane sold the glues and files in sets of 1 glue and 3 files. After selling all the files, he still had 119 glues left. How many files were in the book shop at first?
|
Glues |
Files |
Before |
7x3 = 21 u |
4x3 = 12 u |
Change |
- 1x4 = - 4 u |
- 3x4 = - 12 u |
After |
119 |
0 |
Since all the files were sold, the number of files at first and the number of files sold were the same. Make the number of files at first and sold the same. LCM of 4 and 3 is 12.
Number of glues sold
= 21 u - 4 u
= 17 u
17 u = 119
1 u = 119 ÷ 17 = 7
Number of files at first
= 12 u
= 12 x 7
= 84
Answer(s): 84