Answer:
3 hours watching game films.
1 hour practicing free throws.
And 2 hours lifting weights.
Step-by-step explanation:
Let's let G denote the amount of time spent watching game films,
F denote the amount of time spent practicing free throws, and
W denote the amount of time spent lifting weights.
We know that he spent a total of 6 hours watching films, practicing throws, and lifting weights. So, we can write that:
[tex]G+F+W=6[/tex]
We also know that he spends twice as much time lifting as practicing his throws. So, the time spent lifting W will be 2 times the time spent practicing free throws. In other words:
[tex]W=2F[/tex]
We also know that he spends 2 hours longer watching game films that practicing free throws. Therefore:
[tex]G=2+F[/tex]
This is a system of equations. We can solve using substitution.
Let's substitute the second and third equation all into the first. This gives us:
[tex](2+F)+F+(2F)=6[/tex]
Let's solve for F. Combine like terms:
[tex]4F+2=6[/tex]
Subtract 2 from both sides:
[tex]4F=4[/tex]
Divide both sides by 4:
[tex]F=1[/tex]
So, the basketball players spends 1 hour practicing free-throws.
Since we know that he spends twice as much time lifting weights than practicing free-throws, this means that he spends 2(1) or 2 hours lifting weights.
And he spends two hours longer watching game films. So, he spends 2 + 1 or 3 hours watching game films.
Therefore, he spends 3 hours watching game films, 1 hours practicing his free-throws, and 2 hours lifting weights.
And we're done!
Answer:
3 hours watching game films, 1 hour practicing free throws, and 2 hours lifting weights. Person above me is correct! :)
Step-by-step explanation:
Hope this helps! :)
