Problem 2.1:

The New Jersey Devils ratio of wins to loses to ties is: 6 : 3 : 1.

a. What is the ratio of wins to total games played?

b. What is the ratio of loses to total games played?

c. What is the ratio of ties to total games played?

d. If there have been 50 games played, how many have the Devils won, lost, and tied?

e. How many games should they win, lose, and tie in an 82 game season?

Help appericiated

IExist Jun 23, 2021

#1**+1 **

WLOG, let there be $6+3+1=10$ games played.

There are 6 wins, 3 losses, and 1 tie.

a) $\frac{6}{10} = \frac{3}{5}$

b) $\frac{3}{10}$

c) $\frac{1}{10}$

d) $6 \cdot 5 = 30$ wins, $3 \cdot 5 = 15$ losses, and $1 \cdot 5 = 5$ ties.

e) $6 \cdot 8.2 = 49.2$ wins, $3 \cdot 8.2 = 24.6$ losses, and $1 \cdot 8.2 = 8.2$ ties. This is absurd, so I am positive that (e) is wrongly written.

MathProblemSolver101 Jun 23, 2021

#1**+1 **

Best Answer

WLOG, let there be $6+3+1=10$ games played.

There are 6 wins, 3 losses, and 1 tie.

a) $\frac{6}{10} = \frac{3}{5}$

b) $\frac{3}{10}$

c) $\frac{1}{10}$

d) $6 \cdot 5 = 30$ wins, $3 \cdot 5 = 15$ losses, and $1 \cdot 5 = 5$ ties.

e) $6 \cdot 8.2 = 49.2$ wins, $3 \cdot 8.2 = 24.6$ losses, and $1 \cdot 8.2 = 8.2$ ties. This is absurd, so I am positive that (e) is wrongly written.

MathProblemSolver101 Jun 23, 2021