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Read the following description of a relationship: $\newline$ A farmer has $7$ employees who work all year round, and he hires some temporary employees at harvest time. $\newline$ Let $b$ represent the number of temporary employees and $c$ represent the total number of employees. $\newline$ $\newline$ Find the value of $c$ when $b = 10$ . $\newline$ $c = \_\_$

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Solve word problems by finding two-variable equations

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Q. Read the following description of a relationship:

\newline

A farmer has

7

employees who work all year round, and he hires some temporary employees at harvest time.

\newline

Let

b

represent the number of temporary employees and

c

represent the total number of employees.

\newline

\newline

Find the value of

c

when

b = 10

.

\newline

c = \_\_

Understand the problem: Step $1$ : Understand the problem and set up the equation. $\newline$ The farmer always has $7$ permanent employees. During harvest, he hires additional temporary employees. The total number of employees ( $c$ ) is the sum of permanent and temporary employees. $\newline$ $c = 7 + b$
Set up equation: Step $2$ : Substitute the value of $b$ into the equation. $\newline$ We know $b = 10$ . $\newline$ $c = 7 + 10$
Substitute value: Step $3$ : Calculate the total number of employees. $\newline$ $c = 17$

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