Question

A picture framer has a board 10 1/12 feet long. The framer notices that 2 3/8 feet of the board is scratched and cannot be used. The rest of the board will be used to make small picture frames. Each picture frame needs 1 2/3 feet of the board. At most,how many complete picture frames can be made?

Answer 1

Answer: There are atmost 4 picture frames can be made.

Explanation:

Since we have given that

Length of board is given by

`10(1)/(12)\text{ feet}`

Length of board is scratched and cannot be used is given by

`2(3)/(8)\text{ feet}`

Rest of board will be used to make small picture frames is given by

`(121)/(12)-(19)/(8)\\\\=(242-57)/(24)\\\\=(185)/(24)\text{ feet}`

Length of board needed for each picture frame is given by

`1(2)/(3)=(5)/(3)\text{ feet}`

So, Number of complete picture frames can be made is given by

`((185)/(24))/((5)/(3))\\\\=(185* 3)/(24* 5)\\\\=(37)/(8)\\\\=4.65`

∴ There are atmost 4 picture frames can be made.