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Read the following description of a relationship: $\newline$ Each location of a chain restaurant employs $20$ more waiters than cooks. $\newline$ Let $c$ represent the number of cooks at a location and $w$ represent the number of waiters at the same location. $\newline$ Find the value of $w$ when $c = 9$ . $\newline$ $w = \_$

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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

Each location of a chain restaurant employs

20

more waiters than cooks.

\newline

Let

c

represent the number of cooks at a location and

w

represent the number of waiters at the same location.

\newline

Find the value of

w

when

c = 9

.

\newline

w = \_

Understand Relationship: Understand the relationship between the number of cooks $c$ and waiters $w$ . The problem states that each location has $20$ more waiters than cooks. So, the equation is: $\newline$ $w = c + 20$
Substitute Value: Substitute the value of $c$ ( $9$ ) into the equation to find $w$ . $w = 9 + 20$
Perform Addition: Perform the addition to find the total number of waiters. $w = 29$

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