Question

A hockey team can win, lose, or tie a match. It gets 2 points for a win, 0 points for a loss, and 1 point for a tie. It has lost 10 out of the 28 matches it has played so far, and it has 30 points. Which two equations can be used to find its number of wins, w, and its number of ties, t? A) w + t = 18 and 2w + t = 30 B) w + t = 28 and 2w + t = 30 C) w + t = 18 and w + 2t = 30 D) w + t = 28 and w + 2t = 30 E) w + t = 18 and 2w + 2t = 30

Answer 1

We will use W, L, and T for the number of wins, losses, and ties, respectively.

Using the provided information, we can create the following equation for the points.

2W + 0L + 1T = 30

We also know that there are 10 losses, we we can say the following:

W + T + 10 = 28

Now we have two equations that have the variables W and T. We can solve this system using substitution.

2W + T = 30
W + T = 18

So the answer is A.