To find the total profit of Juan's lemonade stand over the four days, we can define the profit for each day.
- First day profit: Juan made a profit of $12 on his first day.
- Subsequent days' profit: Let’s assume he made a consistent profit of \( p \) dollars on each of the next three days.
The expression for the total profit over the four days would be:
\[ \text{Total Profit} = \text{Profit on Day 1} + \text{Profit on Day 2} + \text{Profit on Day 3} + \text{Profit on Day 4} \]
Given that the profit on the first day is $12 and assuming he made the same profit of \( p \) on each of the next three days, the expression simplifies to:
\[ \text{Total Profit} = 12 + p + p + p = 12 + 3p \]
If we do not have the value of \( p \) (the profit from the next three days), we cannot calculate a specific number for total profit. However, if we assume for example that he made the same profit of $12 on each of those three days, the expression would then be:
\[ \text{Total Profit} = 12 + 3(12) = 12 + 36 = 48 \]
In this case, Juan's total profit over the four days would be $48.
If the profit on the subsequent days was different, please provide that information for a specific calculation.