Chapter 6.3, Problem 55SR

To determine

To express: given rate as a unit rate.

Answer to Problem 55SR

The rate of the cost is $45.8 for 1 concern ticket.

Explanation of Solution

Given information:

Given rate

$183 for 4 concert tickets.

Concept used:

A rate is a ratio of two quantities having different kinds of units. In unit rate it is simplified so that it has a denominator of 1. To express a rate as a unit rate, divide the numerator and denominator of the rate by the denominator.

Calculation:

The rate that compares the cost to the number of tickets to the concert.

  $\frac{\$183}{4\text{concern}\text{tickets}}$

The numerator is 183 and the denominator is 4.

  $\begin{array}{c}\frac{\$183÷4}{4÷4}=\frac{\$45.75}{1\text{ticket}}\left(\text{Divide}\text{the}\text{numerator}\text{and}\text{denominator}\text{by}\text{4}\right)\\ =\frac{\$45.8}{1\text{ticket}}\left(\text{Rounding}\text{to}\text{the}\text{nearest}\text{tenths}\right)\end{array}$

Therefore, the rate of the cost is $45.8 for 1 concern ticket.