SOLUTION: A Triple Jump consists of a hop, step and jump. The length of Keith’s step was three-quarters of the length of his hop and the length of his jump was half the length of his step.

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Question 1154157: A Triple Jump consists of a hop, step and jump. The length of Keith’s step was three-quarters of the length of his hop and the length of his jump was half the length of his step. If the total length of Keith’s triple jump was 17m, what was the length of his hop, in metres?
Given a “starting” number, you double it and add 1, then divide the answer by 1 less than the starting number to get the “final” number. If you start with 2, your final number is 5. If you start with 4, your final number is 3. What starting number gives the final number 4?

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

            I will solve the second problem  ONLY.


The formula for this wording description is


      a%5Bfinal%5D = %282%2Aa%2B1%29%2F%28a-1%29,


where " a " is the starting number.


To get a%5Bfinal%5D = 4, you need to solve this equation


    %282%2Aa%2B1%29%2F%28a-1%29 = 4


for " a ".


Your first step is to multiply both sides by (a-1), then simplify.


ANSWER.  a = 2.5.

Solved.


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