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?
write steps in order
1. Define variables:
Let x be the number of World Series won by the Cincinnati Reds.
Let y be the number of World Series won by the New York Yankees.
2. Write the system of equations:
The total number of World Series won by both teams is 31:
x + y = 31
According to the problem, the Yankees won 5.2 times as many World Series as the Reds:
y = 5.2x
3. Solve for all variables:
Substitute the value of y from the second equation into the first equation:
x + 5.2x = 31
6.2x = 31
Divide both sides of the equation by 6.2:
x = 31/6.2
x = 5
Substitute the value of x into the second equation to solve for y:
y = 5.2(5)
y = 26
Therefore, the Cincinnati Reds won 5 World Series and the New York Yankees won 26 World Series.