A wire, 224 cm long, is cut into three pieces. The first is twice as long as the second. The third is 1/2 as long as the second. How long is the second piece?

Question

Mathematics

Isla Bruce

14 August, 00:37

A wire, 224 cm long, is cut into three pieces. The first is twice as long as the second. The third is 1/2 as long as the second. How long is the second piece?

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Answers (2)

Know the Answer?

Yaretzi Fletcher · Answer 1

If I did this correctly then the answer should be:

Lengths of first, second, and third pieces are f, s, and t

f+s+t=224

f=2s

t=0.5s

2s + s + 0.5s = 224

3.5s = 224

s = 224/3.5 = 64.

The second piece is 64 cm long.

Makaila Villarreal · Answer 2

X, y, z

x+y+z=224

x is 2 times as long as y

x=2y

z is 1/2 times 2nd

z=y/2

sub 2y for x and y/2 for z

2y+y+y/2=224

3y+y/2=224

times 2 both sides

6y+y=448

7y=448

divide both sides by 7

y=64

the 2nd piece is 64 cm