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.
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?
1 answer
1 answer