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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.

Sagot :

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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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