\begin{tabular}{|c|c|c|c|}
\hline & Day 2 & Day 3 & Day 4 \\
\hline Spent & 7 & 12 & 9 \\
\hline Earned & 16 & 22 & 18 \\
\hline
\end{tabular}

Juan ran the lemonade stand for 3 more days after his first day profit of \$12. Each day, he used the money from sales to purchase more lemons, cups, and sugar to make more lemonade. The table shows how much he spent and earned each day.

1. What is the expression needed to find his total profit?
[tex]\[ \square \][/tex]

2. What was his total profit?
[tex]\[ \square \][/tex]



Answer :

To find Juan’s total profit over the 4 days, we can follow these steps:

1. Initial Profit on the First Day:
Juan starts off with a profit of [tex]$12 on the first day. 2. Profit Calculation for Each Subsequent Day: - Day 2: - Amount spent: $[/tex]7
- Amount earned: [tex]$16 - Profit for Day 2: \(16 - 7 = 9\) - Day 3: - Amount spent: $[/tex]12
- Amount earned: [tex]$22 - Profit for Day 3: \(22 - 12 = 10\) - Day 4: - Amount spent: $[/tex]9
- Amount earned: [tex]$18 - Profit for Day 4: \(18 - 9 = 9\) 3. Total Profit Calculation: We sum up the initial profit and the profits from all subsequent days: \[ 12 + (16 - 7) + (22 - 12) + (18 - 9) \] 4. Evaluating the Expression: - Day 2 profit: \(16 - 7 = 9\) - Day 3 profit: \(22 - 12 = 10\) - Day 4 profit: \(18 - 9 = 9\) Adding these values together with the first day's profit, we get: \[ 12 + 9 + 10 + 9 = 40 \] So, the expression needed to find his total profit is: \[ 12 + (16 - 7) + (22 - 12) + (18 - 9) \] And his total profit was: \[ \$[/tex]40
\]