Solving systems of equations word problems worksheet For all problems, define variables, write the system of equations and solve for all variables.
-At the end of the 2000 baseball season, the New York Yankees and the Cincinnati Reds had won a total of 31 World Series. The Yankees had won 5.2 times as many World Series as the Reds. How many World Series did each team win?
Let's define:
x = number of World Series won by the Cincinnati Reds
y = number of World Series won by the New York Yankees
The system of equations is:
x + y = 31 (equation 1)
y = 5.2x (equation 2)
To solve for x and y, we can substitute equation 2 into equation 1:
x + 5.2x = 31
Combining like terms:
6.2x = 31
Divide both sides by 6.2:
x = 5
Substitute this value of x back into equation 2 to find y:
y = 5.2(5)
y = 26
Therefore, the Cincinnati Reds won 5 World Series and the New York Yankees won 26 World Series.