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.

Question

day2:
money spent: 7
money earned: 16
day3:
money spent 12
money earned: 22
day4:
money spent: 9
money earned: 18
What is the expression needed to find his total profit?

Answer 1

To find the total profit Juan made over the four days, we need to consider both the money he earned and the money he spent on each day.

The total profit can be expressed as:

\[ \text{Total Profit} = (\text{Earnings Day 1} + \text{Earnings Day 2} + \text{Earnings Day 3} + \text{Earnings Day 4}) - (\text{Spending Day 1} + \text{Spending Day 2} + \text{Spending Day 3} + \text{Spending Day 4}) \]

Using the data given:

• Day 1: Profit = $12 (which is also earnings)
• Day 2: Earnings = $16, Spending = $7
• Day 3: Earnings = $22, Spending = $12
• Day 4: Earnings = $18, Spending = $9

Now, let's plug in the values:

• Total Earnings = \(12 + 16 + 22 + 18\)
• Total Spending = \(0 + 7 + 12 + 9\) (Note: Assuming he did not spend money on Day 1)

Now we can write the expression needed to find his total profit:

\[ \text{Total Profit} = (12 + 16 + 22 + 18) - (0 + 7 + 12 + 9) \]

Calculating that:

• Total Earnings = \(12 + 16 + 22 + 18 = 68\)
• Total Spending = \(0 + 7 + 12 + 9 = 28\)

Finally, the total profit will be:

\[ \text{Total Profit} = 68 - 28 = 40 \]

So, the expression needed to find his total profit is:

\[ \text{Total Profit} = (12 + 16 + 22 + 18) - (0 + 7 + 12 + 9) \]