Let's define:
x = number of World Series won by the Cincinnati Reds
y = number of World Series won by the New York Yankees
We can create a system of equations based on the given information:
1) x + y = 31 (The total number of World Series won by both teams is 31)
2) y = 5.2x (The Yankees won 5.2 times as many World Series as the Reds)
To solve this system of equations, we can use the substitution method. Let's solve equation (2) for y:
y = 5.2x
Now substitute this expression for y in equation (1):
x + 5.2x = 31
Combine like terms:
6.2x = 31
Divide both sides by 6.2:
x = 31/6.2
x = 5
So the Cincinnati Reds won 5 World Series.
Now substitute this value of x into equation (2) to find y:
y = 5.2x
y = 5.2 * 5
y = 26
Therefore, 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?
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