Question

Two splice plates are cut from a piece of sheet steel that has an overall length of 17 1/2 in. The plates are 9 3/8 in. and 6 15/16 in. long. How much material remains from the original piece if each saw cut removes 1/16 ​in.? ____ in. of material remains from the original piece. ​(Type a whole​ number, proper​ fraction, or mixed​ number.)

Answer 1

Answer:
`(3)/(4)\ in` of material remains from the original piece.

Explanation:

Since we have given that

Overall length of steel sheet is given by

`17(1)/(2)\ in=(35)/(2)\ in`

Size of first plate is given by

`9(3)/(8)\ in=(75)/(8)\ in`

Size of second plate is given by

`6(15)/(16)\ in\\\\=(111)/(16)\ in`

Wastage of material from first plate is given by

`(1)/(16)\ in`

Wastage of material from second plate is given by

`(1)/(16)\ in`

According to question, Amount remains from the original piece is given by

`(35)/(2)-((75)/(8)+(111)/(16)+(1)/(16)+(1)/(16))\\\\(35)/(2)-(150+116+1+1)/(16)\\\\=(35)/(2)-(268)/(16)\\\\=(280-268)/(16)\\\\=(12)/(16)\ in\\\\=(3)/(4)\ in`

Hence,
`(3)/(4)\ in` of material remains from the original piece.