Question

Six office desks that are 7 1/12 feet long are to be placed together on a wall that is 42 7/12 feet long. Will they fit on the wall? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. Yes, if no more than a total of foot is needed for spacing between desks. (Type an integer or a simplified fraction.) B. No, they do not all fit along the wall.

Answer 1

`\text{Yes, If no more than a total of }(1)/(12)foot\text{ is needed for spacing between desks}`

Step-by-step explanation:

Given that six office desks that are 7 1/12 feet long are to be placed together.

The length of the six desks is;

`\begin{gathered} 6*7(1)/(12) \\ =6*7+6*(1)/(12) \\ =42(6)/(12) \end{gathered}`

Given that the wall is 42 7/12 feet long.

Then the length of the six desks is shorter than the length of the wall.

`42(7)/(12)-42(6)/(12)=(1)/(12)`

Therefore, it will fit on the wall if no more than a total of 1/12 foot is needed for spacing between desks.

`\text{Yes, If no more than a total of }(1)/(12)foot\text{ is needed for spacing between desks}`