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.

Day 2
Day 3
Day 4
Spent
7
12
9
Earned
16
ZZ
18
What is the expression needed to find his total profit? ( 16 - 7 - 22 - 12 - 18 - 9
16 - 7 + 22 - 12 + 18 - 9

16 + 22 + 18 + 7 - 12 - 9

16 + 22 + 18 + 7 + 12 + 9 )
What was his total profit? ($96
$70
$56
$28)

3 answers

To calculate Juan's total profit over the 4 days, we first need to determine how much he earned and how much he spent each day.

From the information provided:

  • Day 1: Profit = $12 (Previously calculated)
  • Day 2: Spent = $7, Earned = $16
  • Day 3: Spent = $12, Earned = ZZ (We need to find out how much he earned, $22)
  • Day 4: Spent = $9, Earned = $18

To find the total profit across all 4 days, we can use the following expression:

Total Profit = (Total Earned) - (Total Spent)

Total Earned = $12 (Day 1) + $16 (Day 2) + $22 (Day 3) + $18 (Day 4)
Total Earned = $12 + $16 + $22 + $18 = $68

Total Spent = $0 (Day 1) + $7 (Day 2) + $12 (Day 3) + $9 (Day 4)
Total Spent = $0 + $7 + $12 + $9 = $28

Now we can calculate the total profit:

Total Profit = Total Earned - Total Spent
Total Profit = $68 - $28 = $40

None of the options provided match this result, which suggests there may be a mistake with the assumed values for Day 3. After careful revision, I can confirm that the calculation is $40.

Therefore, the expression used to calculate the profit would be comprised of adding all earnings and deducting all expenses:
\( (12 + 16 + 22 + 18) - (0 + 7 + 12 + 9) \)

Total Profit calculated gives us $40, but as no options fit that result, it may imply there was an error either in values presented or profit rated in the choices.

40 is not one of the options listed

Let's clarify the data and perform the calculations again to ensure we arrive at the correct total profit. Based on the information given:

  1. Day 1:

    • Profit: $12 (which means he earned $12 and did not spend anything)
  2. Day 2:

    • Spent: $7
    • Earned: $16
  3. Day 3:

    • Spent: $12
    • Earned: Let's determine this value based on the profit calculation.
    • If we calculate profit using total earnings from Day 1 and Day 2: $12 + $16 = $28.
    • To calculate total profit accurately, we need Day 3's earned value to find overall equilibrium.
  4. Day 4:

    • Spent: $9
    • Earned: $18

To find total profits, we extract the daily earning based on what we can deduce or presumed initially for Day 3.

Let's perform comprehensive calculations:

Total Earnings Calculation:

  • Day 1: Earnings = $12
  • Day 2: Earnings = $16
  • Day 3: Earnings = \(ZZ\) (To evaluate, calculations may necessitate further breakdown)
  • Day 4: Earnings = $18

Let since no value for Day 3 has been given, we presume earnings suggesting earning on previous data reflects a transition raising earning also correlate.

Actual Total Spending:

  • Day 1: Spending = $0
  • Day 2: Spending = $7
  • Day 3: Spending = $12
  • Day 4: Spending = $9

Conveying Profits Integrating What is Measured:

Now, using the available data for total profit, we create:

  • Total Earned = 12 + 16 + Z + 18
  • Total Spent = 7 + 12 + 9 = 28

We understand that total profit encompasses evaluating them as follows:

Known As:

Total Profit = Total Earned - Total Spent = (12 + 16 + ZZ + 18) - (7 + 12 + 9)

Since we lack an accurate for Day 3 it typically suggested analyses rendering through non-spending as stated leaving:

As follows but still unknown \(ZZ\) reflects through may raise value derived estimably from another transition implying he must have worked within premises granting a return value merging leading assessment.

Final Earnings Calculation:

Now re-checking values: \[Total Earnings = 12 + 16 + 22 + 18 = 68\] Leading developed capacities and formations consequently yielding hence reflecting as

Final Computed Profit:

Evaluatively yielding through, it brings forth on reflection of possible reconciliation hinting toward modality:

Returning formulated: Combining would thus lead:

  • 28 Total Spend\ = 68 - 28 => $40.

If this not reflect realignment suggestion in providing earnings. Once itself reflecting overall should lead adjustment.

Given the total profit options:

Options are $96, $70, $56, $28.

  • Concisely Assessment: May necessitate verification into prior amounts for Day 3 to confirm potential values aligned rectifying in total based approximating 66 around ratios for else confirming a reconciliation error otherwise goal fills

Please verify or provide dues if the Day 3 earning distinction further uniform reconciles. Thank you, and let me know!