Question

Solve the following equation for x to find the total number of people who downloaded songs from a music site for a certain month:
x = 0.6x + 384

How many people downloaded songs from the site that month?

576
240
144
960

Answer 1

Answer = 960

x = 0.6x + 384
0.4x = 384
x = 960

Answer 2

Answer:  The correct option is (D) 960.

Step-by-step explanation:  We are given that the following equation for x to find the total number of people who downloaded songs from a music site for a certain month:

$x=0.6x+384~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to find the number of people that downloaded songs from the side that month.

From equation (i), we get

$x=0.6x+384\\\\\Rightarrow x-0.6x=384\\\\\Rightarrow 0.4x=384\\\\\Rightarrow x=\dfrac{384}{0.4}\\\\\Rightarrow x=960.$

Thus, 960 people downloaded songs  from the side that month.

Option (D) is CORRECT.