Juan borrowed a total of $13 ($10 + $3 from his mother).
He sells $25 worth of lemonade. After paying back his mother, he will subtract the $3 he owes her from the total earnings:
\[ $25 - $3 = $22 \]
So, after paying back his mother, Juan will have $22 left.
It seems there isn't this option among the responses provided. If the question is asking for how much he has after paying back only the $3 to his mother, the answer is $22. If we consider the total earnings or his remaining amount excluding loan repayments, then you would choose $25.
Make sure to double-check the answer choices in full context; if it strictly requires the remaining balance after paying back all borrowed money, then those responses do not match the calculation based on provided information.