harpazo
Full Member
- Joined
- Jan 31, 2013
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John has a board that is 5 feet long. He plans to use it to make 4 shelves whose lengths are to be a series of consecutive even numbers. How long should each shelf be (in inches)?
Solution:
The consecutive integers are x, x + 2 and x + 4, and x + 6. I noticed that we use the same set up here as when searching for odd consecutive integers. Why?
I know that 5 feet is 60 inches.
So, the correct equation is
x + x + 2 + x + 4 + x + 6 = 60
4x + 12 = 60
4x = 60 - 12
4x = 48
x = 48/4
x = 12
The 4 consecutive even integers, in terms of inches, are 12 inches, 14 inches, 16 inches, 18 inches.
Solution:
The consecutive integers are x, x + 2 and x + 4, and x + 6. I noticed that we use the same set up here as when searching for odd consecutive integers. Why?
I know that 5 feet is 60 inches.
So, the correct equation is
x + x + 2 + x + 4 + x + 6 = 60
4x + 12 = 60
4x = 60 - 12
4x = 48
x = 48/4
x = 12
The 4 consecutive even integers, in terms of inches, are 12 inches, 14 inches, 16 inches, 18 inches.