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Chapter 1: Problem 2

Write an equation representing the situation if \(p\) is the price of the dinner in dollars. The cost for three dinners plus a \(\$ 5\) tip is \(\$ 32\).

Short Answer

Expert verified
Based on the step-by-step solution above, the short answer question for students is: Question: Find the equation representing the situation where the total cost of three dinners (with each dinner having the same price) and a $5 tip is $32.

Step by step solution

01

Identify the given information

We know the total cost of three dinners and a \(5 tip is \)32.
02

Define variables

Let \(p\) be the price of one dinner. We want to find an equation representing this situation.
03

Write an expression for the total cost of three dinners

The total cost of three dinners will be \(3p\) because there are 3 dinners, each with the same price \(p\).
04

Write an expression for the total cost, including the tip

Since there is a \(5 tip, we need to add \$5\) to the total cost of three dinners. The expression representing the total cost, including the tip, is \(3p + 5\).
05

Write the equation representing the situation

We know that the total cost of three dinners and the \(5 tip is \)32. So, we can write the equation as: $$3p + 5 = 32$$

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