Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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 :

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