To determine how much money Juan will have left after paying back his mother, we can follow these steps:
- Total Earnings: Juan sells $25 worth of lemonade.
- Total Debt: Juan borrowed a total of $13 (which includes the $10 he initially borrowed and the additional $3 from his mother).
- Pay Back Mother: Juan needs to pay back the $3 he borrowed from his mother.
After Juan pays back his mother, his remaining money will be:
\[ \text{Remaining money} = \text{Total earnings} - \text{Amount to pay back} \] \[ \text{Remaining money} = 25 - 3 = 22 \]
However, Juan still owes a total of $13, so he needs to cover the full debt back to both his mother and himself. If he pays back a total of $13 (the whole amount borrowed), the amount he has after paying it back is:
\[ \text{Remaining money} = 25 - 13 = 12 \]
Therefore, the amount of money Juan will have left after he pays back his mother is:
$12