tindanamichael22 tindanamichael22
  • 09-11-2021
  • Mathematics
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A piece of wood is cut into 3 pieces in the ratio 5:4:3 if the length of the shortest piece is 2 how long is the wood

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jcherry99
jcherry99 jcherry99
  • 10-11-2021

Answer:

Step-by-step explanation:

5:4:3 = x:y:2

4:3 = y:2                 Cross multiply

3y = 8                     Divide by 3

y = 8/3 = 2.66'

5/x = 3/2

3x = 10                   Divide by 3

x = 10/3

x = 3.33

Length of the wood = 2.66 + 3.33 + 2

Length of the wood = 8 feet

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