Valley high school's football team played a total of 16 games. They won twice as many games as they lost. If they tied one game, how many games did the team won

The team won 10 games.

Step-by-step explanation:

The statement indicates  that the football team played a total of 16 games, which means that  the total number of games they won, lost or tied is equal to 16 and you can express this as:

x+y+z=16, where:

x is the number of games the team won

y is the number of games the team lost

z is the number of games the team tied

As you know that they tied one game, it means that z=1:

x+y+1=16

x+y=16-1

x+y=15

Also, the statement says that they won twice as many games as they lost which means that the number of games they won is equal to two times the number of games they lost, which is:

x=2y

Now, you can replace x=2y in x+y=15 and solve for y:

2y+y=15

3y=15

y=15/3

y=5

Finally, you can replace the value of y in x=2y in order to find the value of x:

x=2(5)

x=10

According to this, the answer is that the team won 10 games.

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step-by-step explanation: