pre-calculus

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.

asked by snow
  1. Let's set up some variables to keep track of the various items of interest.

    a = # par-3 holes
    b = # par-4 holes
    c = # par-5 holes

    We are told:
    a+b+c=18 holes
    b = 7c
    a+c = 4
    3a+4b+5c = 72 strokes needed to finish course

    3(4-c) + 4(7c) + 5c = 72
    12-3c + 28c + 5c = 72
    30c = 60
    c=2
    b=14
    a=2

    And we didn't even need the fact that a+b+c=18, but it works out just fine.

    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Intermediate Algebra

    Andrews factored expressions -6x63+9x^2-3x as -3x(2x^2-3x-1). But when Melissa applied the distrubutive law and multiplied out -3x(2x62-3x-1) she got -6x^3+9x^2+3x;thus Andrews solution does not appear to check. Why is that?
  2. math

    The 17th hole at the famous St Andrews golf course is 420m in length. how long will it appear on a plan of course of scale 1:8000?
  3. Map to sacle

    The 17th hole at the famous St Andrews golf course is 420m in length. how long will it appear on a plan of course of scale 1:8000?
  4. maths

    1) The 17th hole at the famous st andrews golf course is 420 m in length.How long will it appear on a plan of the course of scale 1:8000? 2) On a map of scale 1:15000,the distance between the buckingham palace and brixton
  5. English

    I urgently need you to check these sentences. Thank you very much. 1) “Pamela” is an epistolary novel, that is a collection of letters written by a virtuous girl, Pamela Andrews, to her parents. The plot is very simple and
  6. Please help with math!!

    Ted Andrews bought 15 shares of Clark Company stock at $14.875. He sold them a month later at $20.375. What was his profit? Please help!! :) Thanks to everyone who helps! a)$6.50 b)$49.50 c)$80.50 d)$82.50
  7. math

    The table shows ticket prices at the movie 16 theater.Let a represent the number of adult tickets, c the number of childrens tickets and s the number of senior citizen tickets. adults cost:$8.75 childrens cost:$6.50 senior citizen
  8. st andrews

    a stone is droped from a hightof100m.how long does it take to reach the ground a)the first 50m b)the second 50m
  9. English

    What is this poem about? John Burnside - 'History' It states it based in St Andrews; West Sands September 2001. Is this significant? Please help me to understand this poem Thankyou
  10. Phy. Ed

    What are the maximum dimensions of a golf course? Or is there no limit? Apparently there is no limit to the size of a golf course. Check these sites for information about a couple of the world's largest golf courses. (Broken Link

More Similar Questions