Answer:
10 (3 x - 1)
Step-by-step explanation:
If you are going from a larger unit to a smaller unit, you multiply. If you are going from a smaller unit, you divide
So, initially 240
![\frac{3}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B8%7D%20)
-212
![\frac{12}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B12%7D%7B3%7D%20)
were empty:
this is :
![240 \frac{3}{8} - 212 \frac{12}{3} = 240 \frac{3}{8} - 212 +4 = 240 \frac{3}{8} - 216= 24 \frac{3}{8}](https://tex.z-dn.net/?f=240%20%20%5Cfrac%7B3%7D%7B8%7D%20-%20212%20%20%5Cfrac%7B12%7D%7B3%7D%20%20%3D%20240%20%20%5Cfrac%7B3%7D%7B8%7D%20-%20212%20%20%2B4%20%3D%20240%20%20%5Cfrac%7B3%7D%7B8%7D%20-%20216%3D%2024%20%20%5Cfrac%7B3%7D%7B8%7D%20)
12/4 is 4 so that's why i substituted it with 4.
now, later 27 1/3 were used so we add this tho the original empty space
![24 \frac{3}{8}+ 27 \frac{1}{3}](https://tex.z-dn.net/?f=%2024%20%20%5Cfrac%7B3%7D%7B8%7D%2B%2027%20%20%5Cfrac%7B1%7D%7B3%7D)
=
![24 \frac{9}{24}+ 27 \frac{8}{24}](https://tex.z-dn.net/?f=%2024%20%20%5Cfrac%7B9%7D%7B24%7D%2B%2027%20%20%5Cfrac%7B8%7D%7B24%7D)
=
which is the result!
4023/x=100/75
(4023/x)*x=(100/75)*x
4023=1.3333333333333*x
x=4023/1.3333333333333
x=3017.25