A 4-column table with 2 rows. Column 1 has entries Spent, Earned. Column 2 is labeled Day 2 with entries 7, 16. Column 3 is labeled Day 3 with entries 12, 22. Column 4 is labeled Day 4 with entries 9, 18.

Question

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.

What is the expression needed to find his total profit?

What was his total profit?

Answer 1

To calculate Juan's total profit after running the lemonade stand for a total of 4 days, we will start with the expression for total profit. The profit for each day can be calculated as the difference between the amount earned and the amount spent.

Expression for Total Profit

To find the total profit over the 4 days, you can use the following expression:

\[ \text{Total Profit} = (\text{Total Earned}) - (\text{Total Spent}) \]

Day-wise Breakdown

From the table:

• Day 2:
  • Spent: 7
  • Earned: 16
• Day 3:
  • Spent: 12
  • Earned: 22
• Day 4:
  • Spent: 9
  • Earned: 18

Total Earned and Total Spent Calculations

Now, let's calculate the total earned and total spent over the 4 days (including the first day, which is a profit of $12):

\[ \text{Total Earned} = 12 + 16 + 22 + 18 \] \[ \text{Total Spent} = 0 + 7 + 12 + 9 \] (Note: The amount spent on the first day is not provided, so we assume it to be $0.)

Calculation of Total Earned:

\[ \text{Total Earned} = 12 + 16 + 22 + 18 = 68 \]

Calculation of Total Spent:

\[ \text{Total Spent} = 0 + 7 + 12 + 9 = 28 \]

Total Profit Calculation

Now we can substitute these totals into the profit expression:

\[ \text{Total Profit} = \text{Total Earned} - \text{Total Spent} \]

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

Conclusion

• Total Profit: $40.