Stephanie sells 12 pretzels per hour. Robert sells 15 pretzels per hour. This week, Robert sold an additional 18 pretzels. Which of the following expressions represents the total sales of both people this week, where S represents the number of hours that Stephanie worked and R represents the number of hours that Robert worked?

A. 12S + 15R + 18

B. 15S + 12R + 18

C. 12S + 18R

D. 12S + 15R

1 answer

To find the total sales of both Stephanie and Robert this week, we start with the sales rates for each individual.

  • Stephanie sells 12 pretzels per hour, so in S hours, she sells \(12S\) pretzels.
  • Robert sells 15 pretzels per hour, so in R hours, he sells \(15R\) pretzels. Additionally, we are informed that Robert sold an extra 18 pretzels this week.

Thus, Robert's total sales would be \(15R + 18\).

Now, we combine their total sales:

Total Sales = Stephanie's Sales + Robert's Sales
Total Sales = \(12S + (15R + 18)\)
Total Sales = \(12S + 15R + 18\).

Therefore, the expression that represents the total sales of both Stephanie and Robert this week, where S represents the number of hours that Stephanie worked and R represents the number of hours that Robert worked, is:

A. \(12S + 15R + 18\).