Here's what I got.
The idea here is that we can use the information provided by the problem to create a system of two equations with two unknowns, the number of victories, let's say
For starters, we know that in their championship season, they won
#x = y + 9" " " "color(orange)((1))#
We also know that the team gets
We can thus say that
#overbrace(2 * x)^(color(blue)("points coming from wins")) + overbrace(1 * y)^(color(purple)("points coming from ties")) = 60" " " "color(orange)((2))#
We now have two equations with two unknowns. Take the value of
#2 * (y + 9) + y = 60#
Solve this for
#2y + 18 + y = 60#
#3y = 42 implies y = 14#
This means that
#x = 14 + 9 = 23#
Therefore, we can say that the team won
Stefan V has answered this question using 2 variables to form 2 equations and then solving them simultaneously .
It is also possible to solve by using only one variable.
Define one quantity and then write the other quantity in terms of the first.
The team won more games than they tied.
Let the number of games tied be
The number of games won is
2 points were given for each win:
1 point was given for each tie.
The total number of points was 60.