To determine how much money Juan will have left after paying back his mother, we first need to calculate how much he will have after selling lemonade and then subtract his debt to his mother.
- Total earnings from lemonade sales: $25
- Amount he owes to his mother: $3
Now, we will subtract the amount he owes to his mother from his total earnings:
\[ \text{Money left after paying back mother} = \text{Total earnings} - \text{Amount owed} \] \[ \text{Money left} = 25 - 3 = 22 \]
However, it seems there is no option for $22 in the given responses, which implies I may need to clarify further based on the prompt.
- If we consider that he is only paying back the $3 he owes to his mother (and he may not need to pay back the original $10 yet or the full $13 since it’s often common sense to pay back loans progressively), he would indeed be left with $22 after the sales.
Since the options given are $25, $12, $13, and $10 and none align with the $22 conclusion, there may need to be direct clarification on what specific amounts are required by "pay back" conditions as well.
In general money management terms, after acknowledging a gain of $25 and subtracting the immediate debt of $3 with respect to quantities owed, Juan will keep $22 for further needs. Please confirm if the debt is strictly the $3 owed to the mother or part of the larger $13 sum owed.
If asked what will Juan have left after he has simply reimbursed his single most urgent obligation (which is frequently analyzed), the most logical outcome from the options stands to lean towards the balance he'd see remaining is $22 before diving into further obligation resolutions.
In summary, since the question doesn't precisely align with outcomes:
- Juan will have $22 left after paying back his mother out of the total earnings unless otherwise specified.
(However an examination in light of immediate debts relative to the formal statements would note $25 without that scenario too).
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