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 !

Step-by-step 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 :

⇒ $12 = \frac{3}{4}x+6$

⇒ $\frac{3}{4}x=6$

⇒ $\frac{3}{4}x(\frac{4}{3})=6(\frac{4}{3})$

⇒ $x=8$

Therefore, David was able to make 8 picture frames !