Question

school teacher and needs 22 pieces of wood, 3 over 8 ft long, for a class project. If he has a 9-ft board from which to cut the pieces, will he have enough 3 over 8 ft pieces for his class

Answer 1

Yes, he will have enough 3 over 8 ft pieces for his class.

Explanation:

Given:

Number of wood required = 22

Length of each wood,
`l=(3)/(8)\textrm{ ft}`

Total length of the board,
`L=9\textrm{ ft}`

Therefore, the number of woods that can be made using the given board is given as:

`\textrm{Number of woods made}=\frac{\textrm{Total length of board}}{\textrm{Length of each wood}}\\\textrm{Number of woods made}=(L)/(l)=(9)/((3)/(8))=9* (8)/(3)=(72)/(3)=24`

So, he can make 24 woods of length
`(3)/(8)\textrm{ ft}` using the 9 ft board. But he has to make only 22 pieces.

Therefore, he has enough of the wood to make the required number of pieces.