Answer:
[tex]30 cm,60 cm,150 cm[/tex]
Step-by-step explanation:
x represents the shortest wire
y represents the medium wire
z represents the longest one
[tex]x+y+z=240[/tex]
[tex]2x=y\\5x=z[/tex]
We can find x by filling in these values into the first equation
[tex]x+2x+5x=240\\8x=240[/tex]
Divide 8 on both sides
[tex]x=30[/tex]
Now we know the shortest side so we can fill in x in the other 2 equations to find the length
[tex]2(30)=y\\60=y[/tex]
[tex]5(30)=z\\150=z[/tex]
I hope this helps
