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Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the expression $12h + 30w$ where $h$ is the number of hours worked and $w$ is the number of wagons sold. What is the amount paid to an employee that works $6$ hours and sells $3$ wagons?

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Evaluate two-variable equations: word problems

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Q. Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the expression

12h + 30w

where

h

is the number of hours worked and

w

is the number of wagons sold. What is the amount paid to an employee that works

6

hours and sells

3

wagons?

Identify Variables and Expression: Identify the variables and the expression given. $\newline$ We are given the expression $12h + 30w$ to calculate the amount paid to an employee, where $h$ is the number of hours worked and $w$ is the number of wagons sold.
Substitute Given Values: Substitute the given values into the expression. $\newline$ The employee works $6$ hours ( $h = 6$ ) and sells $3$ wagons ( $w = 3$ ). So we substitute these values into the expression: $\newline$ $12(6) + 30(3)$
Perform Multiplication: Perform the multiplication for each term. $\newline$ $12 \times 6 = 72$ (for the hours worked) $\newline$ $30 \times 3 = 90$ (for the wagons sold)
Add Results: Add the results of the multiplications to find the total amount paid. $72 + 90 = 162$
State Final Answer: State the final answer. $\newline$ The amount paid to the employee is $\$162$ .

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