Problema Solution
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 scores would be 8 fewer strokes than triple Charda's score. Together, they had 192 strokes. How many strokes did Charda have?
Answer provided by our tutors
let
a = the number of strokes that Abby had
b = the number of strokes that Brenda had
c = the number of strokes that Charda had
the average of the three players is:
192/3 = 64 strokes
Abby had 4 more strokes than the average of the three players:
a = 4 + 64
a = 68 strokes
The sum of Abby and Brenda's scores would be 8 fewer strokes than triple Charda's score:
a + b = 3c - 8
Together, they had 192 strokes:
a + b + c = 192
by solving the system of equations:
a = 68
a + b = 3c - 8
a + b + c = 192
we find:
b = 74 strokes
c = 50 strokes
click here to see the step by step solution of the system of equations:
Charda had 50 strokes.