Answer:
The width of the picture is 6 cm
Step-by-step explanation:
The length of the picture [tex]=16[/tex] cm
The width of the picture [tex]=x[/tex] cm
The length of a picture is 8 times the difference of the width and 4, so
- the difference of the width and 4 [tex]=x-4[/tex] cm
- 8 times the difference of the width and 4 [tex]=8(x-4)[/tex] cm
- the length of the picture is 8 times the difference of the width and 4, so
[tex]16=8(x-4)[/tex]
Divide the equation by 8:
[tex]2=x-4[/tex]
Rewrite it:
[tex]x-4=2[/tex]
Add 4:
[tex]x-4+4=2+4\\ \\x=6\ cm[/tex]
