14-01-2015
Mathematics

Answered

Michael and Kathryn bowled together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s. What were their scores

Answer :

15-01-2015

[tex]x-\ Kathryn's\ points\\\\ y-\ Michael's\ points\\\\ \left \{ {{x+y=425} \atop {y+70=2x\ \ | subtract\ 70}} \right. \\\\ \left \{ {{x+y=425} \atop {y=2x-70}} \right. \\ substitution\ method\\\\ x+2x-70=425\\\\ 3x-70=425\ \ | add\ 70\\\\ 3x=495\ \ \ | divide\ by\ 3\\\\ x=165\\\\ y=2x-70=2*165-70=330-70=260\\\\ Kathryn\ scored\ 165\ points\ and\ Michael\ 260[/tex]

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