SOLUTION: Kyle drove half as far as Jamaal. Connor drive 4 times as far as Kyle. Altogether they drive 476 miles. How far did each friend drive?

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Question 407157: Kyle drove half as far as Jamaal. Connor drive 4 times as far as Kyle. Altogether they drive 476 miles. How far did each friend drive?

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
k = j/2,
c = 4k,
k + c + j = 476.
From the 1st equation, j = 2k. Substituting this and the 2nd equation into the 3rd equation, we get k + 4k + 2k = 476.
==> 7k = 476, or k = 68 miles driven by kyle,
j = 2*68 = 136 miles driven by jamaal, and
c = 4*68 = 272 miles driven by connor.