Thursday, September 22, 2011

St andrews golf course in st andrews scotland is one of the oldest courses in the world. it is an 18-hole course that consists of par-3 holes, par-4 holes and par-5 holes. a golfer who shoots par at the old course at st andrews has a total of 72 strokes for the entire course. there are seven times as many par-4 holes as par- 5 holes,and the sum of the numbers of par-3 and par-5 holes is four.find the numbers of par-3, par-4 and par-5 holes in the course?

St andrews golf course in st andrews scotland is one of the oldest courses in the world. it is an 18-hole course that consists of par-3 holes, par-4 holes and par-5 holes. a golfer who shoots par at the old course at st andrews has a total of 72 strokes for the entire course. there are seven times as many par-4 holes as par- 5 holes,and the sum of the numbers of par-3 and par-5 holes is four.find the numbers of par-3, par-4 and par-5 holes in the course?
                let x represent the par 3   
                    y represent the pr 4 
                    z represent the par 5 

       18-hole course that consists of par-3 holes, par-4 holes and par-5 holes.

                                            so     x + y + z = 18    ..............(1)

                          seven times as many par -4 holes as par -5 holes

                                           so                 y = 7z      .............(2)


sum of the number of par-3 and par 5 holes is four 
                                           so          x + z  = 4 
             subtract   z both side we get 

                                                              x  = 4- z                  ................(3)

 put the value of  x and y in equation first we get

                                              4-z + 7z + z = 18 
                                                      4 + 7z  = 18 
                                                              7z =  18- 4 
                                                                z = 14/7
                                                                z = 2   

put the value of z in equation second and third we get 
                                                              y = 7z  
                                                                 = 7* 2 
                                                                 = 14 

                                                     and    x  = 4-z 
                                                                   =4- 2 
                                                                   = 2
 Answer is   x= 2 , y = 14 and z = 2
long word problem