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?
wins --- x
ties --- y
x+y= 18
2x+y= 30
subtract them:
x = 12
then y = 6
wins: 12
losses: 10
ties: 6
check:
2(12) + 0(10) + 1(6) = 30
To find the number of wins, w, and the number of ties, t, we can use the given information and set up the following equations:
Equation 1: The total number of matches played so far can be expressed as the sum of wins, losses, and ties:
w + 10 + t = 28
Equation 2: The total number of points earned can be derived from the wins and ties:
2w + 1t = 30
These equations can be used to solve for the unknowns, w and t.