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?..

1 answer

To find the total sales of both Stephanie and Robert this week, we will express their sales in terms of the hours they worked.

  1. Stephanie's Sales:

    • Stephanie sells 12 pretzels per hour, so the total sales from Stephanie in \( S \) hours is: \[ 12S \]
  2. Robert's Sales:

    • Robert sells 15 pretzels per hour, and he worked for \( R \) hours. So, the total sales from Robert without the additional pretzels is: \[ 15R \]
    • This week, Robert sold an additional 18 pretzels. Thus, we need to add that to his sales. Therefore, Robert's total sales this week is: \[ 15R + 18 \]
  3. Total Sales:

    • To find the total sales of both Stephanie and Robert, we add their sales: \[ \text{Total Sales} = \text{Stephanie's Sales} + \text{Robert's Sales} \] \[ \text{Total Sales} = 12S + (15R + 18) \] \[ \text{Total Sales} = 12S + 15R + 18 \]

Thus, the expression that represents the total sales of both Stephanie and Robert this week is: \[ 12S + 15R + 18 \]