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:
\[
\$[/tex]40
\]
