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26-08-2014
Mathematics

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jan, mya, and sara ran a total of 64 miles last week. jan and mya ran the same number of miles. sara ran 8 less miles than jan and mya. how many miles did sara run?

Answer :

26-08-2014

[tex]x-\ Jan's\ destination\\\\y-\ Mya's \ destination \\\\ z-\ Sara's\ destination\\\\\ x+y+z=64\\ x=y\\ z-8=2x\\\\ x+x+z=64\\ z=2x+8\\\\ 2x+2x+8=64\\\\ 4x+8=64\\\\ 4x=64-8\\\\ 4x=56\ \ |:4\\\\x=14\\\\z=2x+8=2*14+8=28+8=36\\\\ Sara\ ran\ 36\ miles.[/tex]

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