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Read the following description of a relationship: $\newline$ An electronics store has $15$ permanent employees who work all year. The store also hires some temporary employees to work during the busy holiday shopping season. $\newline$ Let $a$ represent the number of temporary employees and $b$ represent the total number of employees during the holiday shopping season. $\newline$ $\newline$ Find the value of $b$ when $a = 7$ . $\newline$ $b = \_$

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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

An electronics store has

15

permanent employees who work all year. The store also hires some temporary employees to work during the busy holiday shopping season.

\newline

Let

a

represent the number of temporary employees and

b

represent the total number of employees during the holiday shopping season.

\newline

\newline

Find the value of

b

when

a = 7

.

\newline

b = \_

Understand Relationship: Understand the relationship between permanent and temporary employees. $\newline$ The store has $15$ permanent employees and hires additional temporary employees during the holidays. The total number of employees ( $b$ ) is the sum of permanent and temporary employees. $\newline$ $b = 15 + a$
Substitute Value: Substitute the value of $a$ . We know $a = 7$ (number of temporary employees). $b = 15 + 7$
Calculate Total: Calculate the total number of employees. $b = 15 + 7 = 22$

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