Question

A welder must cut a piece of metal so that it fits tightly into its spot. The welder cuts 9/16 of an inch off the metal so that it measures 3 3/4 inches. What was the size of the original piece of metal?

Answer 1

. A welder must cut a piece of metal so that it fits tightly into its spot. The welder cuts 5/16 of an inch off the metal so that it measures 3 3/4 inches. What was the size of the original piece of metal?

c 4 1/16

Answer 2

Answer:
`4(5)/(16)\text{ inches}`

Explanation:

Given : A welder must cut a piece of metal so that it fits tightly into its spot.

The size of the metal which he cut off=
`(9)/(16)\text{ inch}`

The new size of the metal after he cut off a piece =
`3(3)/(4)\text{ inch}`

`=(15)/(4)\text{ inches}`

Now, the size of the original piece of metal :-

`(9)/(16)+(15)/(4)\text{ inches}\\\\=(9+15(4))/(16)\text{ inches}\\\\=(69)/(16)\text{ inches}=4(5)/(16)\text{ inches}`

Hence, the size of the original piece of metal was
`4(5)/(16)\text{ inches}`