A farmer wants to build a straight fence with a post every 7 feet. Each end has a post. For a fence that is 49 feet long, how many posts will the farmer need?
Describe the quantities given
Tell how you can show the relationships in the problem
Solve and explain your reasoning
8 post is needed. I can draw a picture to show relationships
49 divided by 7 =7. But since the each end has a post. I will need one more. Which makes it 8
Yes! Right.
Solve and explain your reasoning
Describe the quantities given.
The quantities given in this problem are the length of the fence, which is 49 feet, and the spacing between each post, which is 7 feet. We can show the relationships in the problem by visualizing and drawing a diagram.
To solve this problem, we can divide the total length of the fence by the spacing between each post. In this case, 49 feet divided by 7 feet equals 7. However, it is important to note that each end of the fence also needs a post, so we need to add one more to the result. Therefore, a total of 8 posts will be needed to build a straight fence with these specifications.
The reasoning behind this is that the spacing between each post, which is 7 feet, determines the number of sections the fence will have. Dividing the total length of the fence by the spacing gives us the number of sections. Since each end also has a post, we need to add one more to the result in order to account for the total number of posts needed.