Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Toll Booth You lose your electronic tag that you use to pay tolls on the highway in your city. It costs you $24 to replace the tag. The cost of one toll when you don’t use the tag is $3. The cost of the same toll when you do use the tag is $1.50. How many times will you have to use the tag to pay for the tolls in order for the total cost to be same as not using the tag?

I will have to use the tag 16 times.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step-1 – Given

The cost of replacing a tag = $24

The cost of one toll without the use of tag = $3

The cost of one toll with the use of tag = $1.50

Step-2 – To determine

We have to find the number of times the tag can be used to pay the tolls.

Step-3 – Calculation

Let the number of tolls = x.

So,

The cost of x times of toll without the use of tag = 3x

The cost of x times of toll with the use of tag = 1.5x

Hence, the equation is, $24 + 1.5 x = 3 x$

$\begin{array}{l} 24 + 1.5 x = 3 x write the original equation \\ 24 + 1.5 x - 1.5 x = 3 x - 1.5 x subtract 1 .5 x from both sides \\ 24 = 1.5 x simplify \\ \frac{24}{1.5} = \frac{1.5 x}{1.5} divide each side by 1.5 \\ x = 16 simplify \end{array}$

So, I will have to use the tag 16 times.

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