Question

The length of a picture is 8 times the difference of the width and 4. If the the length of the picture is 16 cm, find the width

Answer 1

The width of the picture is 6 cm

Explanation:

The length of the picture
`=16` cm

The width of the picture
`=x` cm

The length of a picture is 8 times the difference of the width and 4, so

• the difference of the width and 4
  `=x-4` cm
• 8 times the difference of the width and 4
  `=8(x-4)` cm
• the length of the picture is 8 times the difference of the width and 4, so

`16=8(x-4)`

Divide the equation by 8:

`2=x-4`

Rewrite it:

`x-4=2`

Add 4:

`x-4+4=2+4\\ \\x=6\ cm`