131 27. During a golf match, a certain number of points are awarded for each eag

Question

131 27. During a golf match, a certain number of points are awarded for each eagle and a different number for each birdie. No points are awarded for par, and a certain number of points are deducted for each bogey and a different number deducted for each double bogey (or worse). The newspaper rep of an important match neglected to mention what these point values were., but did provide the following table of the results: ort Golfer Eagles Birdies Pars Bogeys Dou bles Points 10 12 10 10 From the information in the table write four equations in terms of four unknowns. Solve the equations for the unknown points awarded for eagles and birdies and points deducted for bogeys and double bogeys

Explanation / Answer

Let points awarded for eagle be "u", Birdies be "v".Points deducted for Bogeys be "w" and par be "x"

Hence following equations are formed from given data-

u + 2*v - w - x = 5 ......1)

2*u + 3*v - x = 12 .......2)

u + 4*v - w = 11 .........3)

u + 3*v - 2*w = 8 ........4)

2) - 1) --> u + v + w =7 ........5)

3) + 5) --> 2*u + 5*v =18 .......6)

3) - 4) -- > v + w = 3 .......7)

putting value of v+w from equation 7) to equation 5),we get u + 3 = 7 --> u=4

putting value of u in equation 6),we get 8+ 5*v=18 --> v=2

putting value of v in equation 7),we get 2 + w =3 --> w = 1

Putting value of u,v and w in equation 1) -> 4 + 4 - 1 - x=5 --> x=2

Hence points awarded for eagle =4,

points awarded for Birdies = 2

Points deducted for Bogeys = 1

Points deducted for par = 2

Hope i have answered your question satisfactorily.Leave doubts in comment section if any.

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.