finite help please

Question

Assume that the golfer makes 65 percent of putts when they are less than 10 feet and 20 percent of putts when they are 10 feet or longer. The golfer takes 34 putts from less than 10 feet and 61 putts from 10 feet or longer during the tournament.

 

How many putts can the golfer expect to make during the tournament?

Answer 1

15% Made from 10-20 feet  (1-.65-.20=.15)

 

x= Total Putts Made 10-20 feet

 

Total= Total Putts Taken

 

34+x+61=Total

 

x/Total=.15;  x=.15*Total

 

34+.15*Total+61=Total

 

95=.85*Total

 

Total=95/.85=112 rounded

 

TentoTwentyTaken=112-34-61=17

 

.65*34+.15*17+.20*61=22.1+2.55+12.2=36.85 (truncate to 36) made during Tournament

 

36 Hole Tournament, since only 1 putt can be made per hole.

 

 

Check:

 

22.1/34=.65  <10 feet

2.55/17=.15  10-20 feet

12.2/61=.20  >20 feet

 

34+17+61=112 Total Putts  .......  If I did my math right, that's a lot of putts for 36 holes. 3.1 putts/hole.