Question

I’m doing equations with rationals. The question is: David is building wooden picture frames. Each frame requires 3/4 of wood. If David started with 12 feet of wood and now only has 6 feet remaining, how many picture frames has he built.

Answer 1

David was able to make 8 picture frames !

Explanation:

Here we have , David is building wooden picture frames. Each frame requires 3/4 of wood. If David started with 12 feet of wood and now only has 6 feet remaining, We need to find how many picture frames has he built. Let's find out:

David initially had 12 feet of wood and he's making frame which requires 3/4 of wood . Let David make x number of frames and now he's left with only 6 feet wood So , Following is the equation framed according to given scenario :

⇒
`12 = (3)/(4)x+6`

⇒
`(3)/(4)x=6`

⇒
`(3)/(4)x((4)/(3))=6((4)/(3))`

⇒
`x=8`

Therefore, David was able to make 8 picture frames !