Question

Susan is installing junction boxes in a living room wall which is 12 feet long. She has to install two boxes evenly spaced on the wall with the center point of the wall centered between the boxes (as if all arrows are equal in the picture below). The junction boxes are 4 11/16 inches wide. How much wall space will be between the two boxes? (Answer should be a mixed number, not a decimal.)

Answer 1

7 ft I’m guessing lol

Answer 2

Wall space between two junction boxes is
`44\displaystyle(7)/(8)\text{ inches}`

Explanation:

We are given the following information:

Length of wall = 12 foot = 144 inches

Length of Junction box =
`4\displaystyle(11)/(16)\text{ inches}`

There are two junction boxes to be arranged.

Total length of junction boxes =
`8\displaystyle(11)/(16)\text{ inches}`

Space left:

`\text{Length of wall} - \text{Length of junction boxes}\\= 144 -8\displaystyle(11)/(16)\\= \displaystyle(2154)/(16)`

Now, this left space have to be distributed in three equal part so that the arrangement could be of the form: space, junction box, space, junction box, space.

Space =
`\displaystyle(2154)/(16) / 3=\displaystyle(2154)/(48) = 44\displaystyle(7)/(8)`

Hence, wall space between two junction boxes is
`44\displaystyle(7)/(8)\text{ inches}`