Let's define:
- x as the number of World Series won by the Reds
- y as the number of World Series won by the Yankees
We know that the total number of World Series won by both teams is 31, so we can create the following equation:
x + y = 31
We also know that the Yankees won 5.2 times as many World Series as the Reds, which can be represented by the equation:
y = 5.2x
Now we can solve this system of equations using substitution or elimination.
Substitution Method:
Substitute the value of y from the second equation into the first equation:
x + 5.2x = 31
6.2x = 31
x = 31/6.2
x ≈ 5
Substitute the value of x back into the second equation to find y:
y = 5.2(5)
y = 26
Therefore, the Reds won approximately 5 World Series and the Yankees won approximately 26 World Series.
4. 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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