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

2 songs.

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.

`(3.5x)/(3.5)\leq (9)/(3.5)`

`x\leq 2.5714285714285714`

Therefore, Sam can practice 2 songs in a week.

Answer 2

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

Explanation:

Suppose, the greatest number of song he can practice in a week is
`x`

He practices each song for
`3(1)/(2)` hours. So, the total time required for practicing
`x` number of songs
`= (3(1)/(2)*x)` hours.

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

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

`3(1)/(2)*x= 9\\ \\ x= 9/ 3(1)/(2)\\ \\ x=9/ (7)/(2)=9 * (2)/(7)=(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.