Ask Question
30 April, 23:19

A 200 centimeter-long wire is cut into three pieces. The second piece is 3 times as long as the first. The third piece is 2 times as long as the second. How long is each piece?

+3
Answers (1)
  1. 30 April, 23:46
    0
    Let x be the length of the first piece, y be the length of the second piece and z be the length of the 3rd piece. We just need to figure out how these lengths (x, y, z) relate to the total length and each other as follows:

    x + y + z = 200 since the sum of the lengths equals the total length of the wire

    y = 3x since piece two is 3 times longer than piece one

    z = 2y = (2) (3) (x) = 6x since piece three is 2 times longer than piece two

    Now we have (x, y, z) in terms of x alone, so we can substitute into the first equation:

    x + 3x + 6x = 10x = 200 which means x = 20.

    Then, substitute this value into all the other equations.

    y = 3 (20) = 60

    z = 6 (20) = 120

    This can be checked by summing them up like this: 20 + 60 + 120 = 200.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A 200 centimeter-long wire is cut into three pieces. The second piece is 3 times as long as the first. The third piece is 2 times as long ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers