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This equation shows how the total bill for a meal is related to the number of people sharing the meal. $\newline$ $b = 15n + 35$ $\newline$ The variable $n$ represents the number of people, and the variable $b$ represents the total bill. What is the total bill for a meal shared by $4$ people?

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Find a value using two-variable equations: word problems

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Q. This equation shows how the total bill for a meal is related to the number of people sharing the meal.

\newline

b = 15n + 35

\newline

The variable

n

represents the number of people, and the variable

b

represents the total bill. What is the total bill for a meal shared by

4

people?

Identify variable for number of people: Identify the variable that corresponds to the number of people sharing the meal. $\newline$ In the equation $b = 15n + 35$ , $n$ represents the number of people. $\newline$ Since the meal is shared by $4$ people, we have $n = 4$ .
Substitute value of $n$ into equation: Substitute the value of $n$ into the equation to find the total bill. $\newline$ Using the equation $b = 15n + 35$ , we substitute $n$ with $4$ . $\newline$ $b = 15 \times 4 + 35$
Perform multiplication and addition to solve for $b$ : Perform the multiplication and addition to solve for $b$ . $\newline$ $b =$ $15$ \times $4$ + $35$ $\newline$ $b =$ $60$ + $35$ $\newline$ $b =$ $95$

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