Questions: Ryan, a consumer electronics salesperson, earns a base salary of 1600 per month and a commission of 7% on the amount of sales he makes. One month Ryan received a 1936 paycheck. Find the amount of his sales for the month. Ryan had sales of for the month.

Solution Steps

Ryan's total income for the month is the sum of his base salary and the commission he earns from sales. The equation can be set up as follows:

\[ \text{Total Paycheck} = \text{Base Salary} + \text{Commission Rate} \times \text{Sales} \]

Given:

• Base Salary = \$1600
• Total Paycheck = \$1936
• Commission Rate = 7\% = \(\frac{7}{100} = 0.07\)

Substitute the known values into the equation:

\[ 1936 = 1600 + 0.07 \times \text{Sales} \]

To find the sales amount, solve the equation for \(\text{Sales}\):

\[ 1936 - 1600 = 0.07 \times \text{Sales} \]

\[ 336 = 0.07 \times \text{Sales} \]

Divide both sides by 0.07 to isolate \(\text{Sales}\):

\[ \text{Sales} = \frac{336}{0.07} \]

\[ \text{Sales} = 4800 \]

Final Answer