Chapter 1.1, Problem 13STP

To determine

How many new signs are needed.

Answer to Problem 13STP

53 signs

Explanation of Solution

GIVEN:

A 26 miles section of a highway is designated as a scenic byway. New signs will be placed at the beginning and end of this section and at every 0.5 mile in between.

In order to find how many new signs are needed, first divide 26 miles by 0.5 as shown below:

  $\begin{array}{l}26÷0.5\\ \frac{26}{0.5}=52\end{array}$

So, there are 52 lengths of 0.5 miles on the highway.

52 signs are needed in order to place a sign at the beginning of each length of 0.5 miles, and one more sign is needed in order to place a sign at the end of the last lentgh of 0.5 miles.

  $52+1=53$

So, 53 signs are needed.