emily spent 40%of her check on rent 12% on groceries and 16% on utilities how much did she have left from her $260 check

We have that Emily has spent the following percentages:
40% + 12% + 16% = 68%
That is Emily has spent 68% of her $260 check.
To know what is left in her check, we need to calculate the remaining percentage. The remaining percentage is: 100% - 68% = 32%.
This is what is left in Emily's check. Then, to know the amount of money remaining we need to calculate 32% of the total check, that is, $260. Then, we can proceed as follows:
[tex]260\cdot\frac{32}{100}=\frac{(260\cdot32)}{100}=\frac{8320}{100}=83.20[/tex]Therefore, Emily still has $83.20 in her check.