For this case we have:
x: Represents the number of carrot boxes
y: Represents the number of boxes of potatoes
Initially we have:
![x = 75\\y = 80](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bumwxyw7qs1f8hgkvuxwexz7jgxd4v7fz4.png)
If you sold 68 boxes of carrot we have:
![x = 75-68 = 7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/m3zqf6sy1ujhuyxdp0cdi5u8hg29kkrtrw.png)
If you sold 71 boxes of potatoes, we have:
![y = 80-71 = 9](https://img.qammunity.org/2020/formulas/mathematics/middle-school/oumdo363w1zdx24mae590jipp66skfjwwl.png)
The number of boxes I take home is given by:
![x + y = 7 + 9 = 16](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ap1vh4rckcz9iw7mc6awmdf2486trx6f92.png)
ANswer:
7 boxes of carrots left
There are 9 boxes of potatoes left
A total of 16 boxes remain