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

Answer:

The width of the picture is 6 cm

Step-by-step 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:

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