Question

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

Answer 1

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:

$3.5x\leq 9$

Let us divide both sides of our inequality by 3.5.

$\frac{3.5x}{3.5}\leq \frac{9}{3.5}$

$x\leq 2.5714285714285714$

Therefore, Sam can practice 2 songs in a week.

Answer 2

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  $x$

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

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

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

$3\frac{1}{2}*x= 9\\ \\ x= 9\div 3\frac{1}{2}\\ \\ x=9\div \frac{7}{2}=9 \times \frac{2}{7}=\frac{18}{7}= 2.571.... \approx 2$

(Rounded as the greatest whole number)

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