A wire, 224 cm long, is cut into 3 pieces. The first is twice as long as the second. The third is one-half as long as the second . How long is the second piece?
2 answers:
X = 1st piece, y = 2nd piece, z = 3rd piece x + y + z = 224 x = 2y z = 1/2y 2y + y + 1/2y = 224 3.5y = 224 y = 224/3.5 y = 64 cm<== 2nd piece x = 2y x = 2(64) x = 128 cm...1st piece z = 1/2y z = 1/2(64) z = 64/2 z = 32 cm....3rd piece
First=2x third=x/2 x+2x+(x/2)=5x/2 7x/2=224 multiply by 2 (7x/2)*2=224*2 5x=448 x=64 x=64 cm the second part first part =2x=64*z=128 cm third part=x/2=64/2=32 cm
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