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?
16 + 22 + 18 + 7 - 12 - 9

What was his total profit?
a. 56
b.28
c. 96
d.70

1 answer

To find the total profit, we can analyze the given expression:

The expression \(16 + 22 + 18 + 7 - 12 - 9\) can be interpreted as follows:

  • The terms \(16 + 22 + 18 + 7\) represent the total earnings Juan made over the 4 days (including the first day).
  • The terms \(-12\) and \(-9\) represent his initial profit and the costs he incurred for making lemonade.

Putting this all together, the total profit can be calculated as:

\[ 16 + 22 + 18 + 7 - 12 - 9 \]

Calculating the earnings:

  • \(16 + 22 = 38\)
  • \(38 + 18 = 56\)
  • \(56 + 7 = 63\)

Now for the costs:

  • \(12 + 9 = 21\)

Now, we will subtract total costs from total earnings: \[ 63 - 21 = 42 \]

It seems there may be a misunderstanding in the initial expression provided, as 42 is not listed as an option. Let's re-evaluate the expression based on your options; it's possible the information or options could have a discrepancy.

However, assuming the math was properly accounted for—if we adhere strictly to the expressions and ignore the inconsistency in the profit definitions—the total profit derived from the calculations does not directly match options \(a\), \(b\), \(c\), or \(d\) but rather computes to \(42\).

To ensure the options fit, please confirm the numbers or if any data may have been omitted. Otherwise, based purely on math, his profit is \(42\)—not aligning with the options given.