Sam practices his guitar for 9 hours each week he practices each song for 3 1/2 hours. What is the greatest number of song he can practice in a week

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Answer:

The greatest number of song he can practice in a week is  2.

Step-by-step explanation:

Suppose, the greatest number of song he can practice in a week is  [tex]x[/tex]

He practices each song for [tex]3\frac{1}{2}[/tex] hours. So, the total time required for practicing [tex]x[/tex] number of songs [tex]= (3\frac{1}{2}*x)[/tex] hours.

Given that, he practices his guitar for 9 hours each week.

So, the equation will be......

[tex]3\frac{1}{2}*x= 9\\ \\ x= 9\div 3\frac{1}{2}\\ \\ x=9\div \frac{7}{2}=9 \times \frac{2}{7}=\frac{18}{7}= 2.571.... \approx 2[/tex]

(Rounded as the greatest whole number)

Thus, the greatest number of song he can practice in a week is  2.

Answer:

2 songs.    

Step-by-step explanation:

Let x be the number of songs.

We have been given that Sam practices his guitar for 9 hours each week. He practices each song for 3 1/2 hours. So the time taken to practice x songs will be 3.5x.

To find the greatest number of song that Sam can practice we can set an inequality as:

[tex]3.5x\leq 9[/tex]

Let us divide both sides of our inequality by 3.5.

[tex]\frac{3.5x}{3.5}\leq \frac{9}{3.5}[/tex]

[tex]x\leq 2.5714285714285714[/tex]

Therefore, Sam can practice 2 songs in a week.