Ernie had 9 more top -10 finishes than Phil. Vijay had 13 more top-10 finishes than Phil.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
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Three golfers, vijay, Ernie, and Phil, during five years had a total of 199 top-10 finishes. Ernie had 9 more top -10 finishes than Phil. Vijay had 13 more top-10 finishes than Phil. Determine the number of top-10 finishes for each golfer. How many top-10 finishes did Phil have ? How many top -10 finishes did Ernie have ? How many -10 finishes did Vijay ? 

Expert Solution
Step 1

We denote top-10 finishes of players Vi, Er, and Ph by x, y, and z respectively.

Now we have

x+y+z=199 . . . . . . (1)

Also

x=z+13y=z+9

Substituting this in (1) results

z+13+z+9+z=199 3z+22=1993z=199-22=177z=1773=59

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