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7 December, 00:19

Abby, Brenda, and Charda are all golfers. Abby had 4 more strokes than the average of the three players. The sum of Abby and Brenda's score would be 8

fewer strokes than triple Charda's score. Together, they had 192 strokes. How many strokes did Charda have.

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  1. 7 December, 03:24
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    So here you're solving a system of equations. If A=the number of strokes Abby has, B=the number of strokes Brenda has, and C=the number of strokes Charda has, then your equations would be:

    A-4 = (A+B+C) / 3

    (A+B) + 8=3C

    A+B+C=192

    If we look carefully, you can see that (A+B+C) can be seen in two equations (the first and third). So you could use substitution with that.

    A-4 = (192/3)

    A-4=64

    A=68

    So now you know that Abby has 60 strokes, you can substitute that into any of the other equations. I chose the second and got:

    68+B+8=3C

    B+76=3C

    B=3C-76

    If you substitute this and Abby's score into the third equation, you get:

    68 + (3C-76) + C=192

    4C-8=192

    4C=200

    C=50 strokes
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