Question

Bobby has been assigned to change the bulb in each light post along the highway on one side of a 4256-foot section of the road. The light posts are 112 feet apart, and there is a light post when he starts and when he finishes. How many bulbs will he change?

a. 37
b. 38
c. 39
d. 40

Answer 1

Bobby will change bulbs in 38 light posts. This was determined by calculating the number of spaces between the light posts on a 4256-foot section of the highway, with each post being 112 feet apart, and adding an additional post at the end.

Step-by-step explanation:

To determine how many light bulbs Bobby will change, we need to calculate the number of light posts on one side of the 4256-foot section of the highway with the light posts being 112 feet apart and including one at both the beginning and the end.

First, we assume the initial light post is the starting point, so we need to consider the remaining distance which is 4256 - 112 feet, given that the first post is already counted.

Next, we divide this distance by the spacing between posts: 4144 feet / 112 feet per post.

This calculation gives us the number of spaces between the light posts.

To find the total number of posts, we add one more post (for the last post).

Let's do the calculation step-by-step:

Remaining distance = 4256 - 112 = 4144 feet

Number of spaces between posts = 4144 feet / 112 feet = 37

Total number of posts = Number of spaces + 1 = 37 + 1 = 38

So, Bobby will change bulbs in 38 light posts.

Answer 2

Bobby will change the bulbs in 38 light posts along a 4256-foot section of highway, with each post 112 feet apart and including a post at both the start and end of the section.

Step-by-step explanation:

The question asks how many bulbs will Bobby change if he is to replace the bulbs in each light post along a 4256-foot section of highway, with light posts that are 112 feet apart, including one at the start and end of the section.

First, we need to find out how many sections of 112 feet are in 4256 feet, which is done by dividing the total length by the distance between posts:

4256 feet / 112 feet per post = 38 posts.

Since there is a light post at both the beginning and end of the section, we must include those in our count. This confirms that Bobby will change the bulbs in 38 light posts.

Therefore, the correct answer is (b) 38.