Juan ran the lemonade stand for 3 more days. Each day, he used the money from sales to purchase more lemons, cups, and sugar to make more lemonade. On day 2, he earned $16 and spent $7 on supplies. On day 3, he earned $22 and spend $12. The expression 16-7+22-12 can be used to model the situation for these 2 days.

Question

Identify the expression that uses adding the additive inverse to rewrite the expression.

A. -16 + (-7) + (-22) + (-12)
B. 16 + (-7) + 22 + 12
C. -16 + 7 + (-22) + 12
D. 16 + (-7) + 22 + (-12)

Answer 1

To rewrite the expression \(16 - 7 + 22 - 12\) using adding the additive inverse, we want to represent subtraction with negative numbers.

The expression can be rewritten as follows:

• \(16\) remains as is.
• Subtracting \(7\) is the same as adding \(-7\).
• \(22\) remains as is.
• Subtracting \(12\) is the same as adding \(-12\).

So, the rewritten expression will be:

\[ 16 + (-7) + 22 + (-12) \]

Looking at the options you provided, the correct choice is:

D. \(16 + (-7) + 22 + (-12)\).

Answer 2

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 3

To find the total profit for Juan after running the lemonade stand for 3 days, we can sum up his earnings and subtract his expenses for each day. The total profit can be calculated using the expression:

\[ \text{Total Profit} = \text{Total Earnings} - \text{Total Expenses} \]

If we denote:

• \(E_1, E_2, E_3\) as the earnings for each of the 3 days,
• \(S_1, S_2, S_3\) as the expenses for each of the 3 days,
• The profit from the first day is $12.

Then the total profit expression would look like:

\[ \text{Total Profit} = 12 + (E_1 + E_2 + E_3) - (S_1 + S_2 + S_3) \]

Calculating Total Profit

To provide the total profit, I would need the values for \(E_1, E_2, E_3, S_1, S_2, S_3\) as stated in the table you mentioned. Since the table data was not included, please share the amounts for earnings and expenses for his subsequent days so I can calculate the total profit accurately.

Answer 4

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

Answer 5

To find the total profit for Juan after running his lemonade stand for the additional 3 days, we need to use an expression that reflects his earnings and expenses.

Let's analyze the choices provided:

1. (16 - 7 + 22 - 12 + 18 - 9)
   This expression combines earnings and expenses correctly.
2. (16 + 22 + 18 + 7 - 12 - 9)
   This expression adds expenses incorrectly because expenses should be subtracted, not added.
3. (16 + 22 + 18 + 7 + 12 + 9)
   This expression incorrectly adds expenses.
4. (16 - 7 - 22 - 12 - 18 - 9)
   This expression incorrectly subtracts all values rather than properly structuring the earnings minus expenses.

The correct expression for total profit should include adding all earnings and subtracting all expenses. Therefore, the correct answer from the given options is:

(16 - 7 + 22 - 12 + 18 - 9)

Calculation of Total Profit

Let's break it down:

1. Day 1 Profit:
   Profit = 12 (initial profit)

2. Day 2:
   Earnings: $16
   Expenses: $7
   Profit = 16 - 7 = $9

3. Day 3:
   Earnings: $22
   Expenses: $12
   Profit = 22 - 12 = $10

4. Day 4:
   Earnings: $18
   Expenses: $9
   Profit = 18 - 9 = $9

Now we can calculate the total profit:

\[ \text{Total Profit} = \text{Initial Profit} + \text{Day 2 Profit} + \text{Day 3 Profit} + \text{Day 4 Profit} \]

\[ \text{Total Profit} = 12 + 9 + 10 + 9 = 40 \]

However, we will also total using the expression:

\[ = (16 - 7) + (22 - 12) + (18 - 9) + 12 \] \[ = 9 + 10 + 9 + 12 = 40 \]

It appears that the final options you presented as values for the total profit do not include $40.

Please check if there might be any other profits or expenses you intended to include, or let me know the amounts for profitability verification.