Question

you have a piece of wood that is 72 inches long u cut the wood into three pieces the second piece is 6 inches longer than the first piece the third piece is 6 inches longer than the second piece draw a diagram and then draw write and solve an equation to find how to position the posters

Answer 1

Let

x---------> the length of the first piece

y---------> the length of the second piece

z---------> the length of the third piece

we know that

x+y+z=72 -------> equation 1

y=x+6 -----> solve for x

x=y-6 -------> equation 2

z=6+y -------> equation 3

substitute equation 2 and equation 3 in equation 1

[y-6]+y+[6+y]=72

3y=72

y=(72/3)=24 in

Find the value of x

x=y-6 -------> equation 2

x=24-6=18 in

Find the value of z

z=6+y -------> equation 3

z=6+24=30 in

therefore

the answer is

the length of the first piece is 18 in

the length of the second piece 24 in

the length of the third piece is 30 in