One month, a music site observed that 60% of the people who downloaded songs from its site downloaded Q Sam's latest single. The equation below represents this information, where x represents the total number of people who downloaded songs from the site that month:
x = 0.6x + 384
How many people who downloaded songs from the site that month downloaded Q Sam's latest single?
576
240
144
960
To solve the equation, you need to isolate the variable x on one side of the equation.
Let's solve the equation step by step:
x = 0.6x + 384
First, subtract 0.6x from both sides of the equation:
x - 0.6x = 0.6x + 384 - 0.6x
which simplifies to:
0.4x = 384
Next, divide both sides of the equation by 0.4 to solve for x:
(0.4x)/0.4 = 384/0.4
which simplifies to:
x = 960
Therefore, a total of 960 people downloaded songs from the site that month.
To find how many people downloaded Q Sam's latest single, multiply the total number of people who downloaded songs (960) by the percentage of people who downloaded his single (60% or 0.6):
960 * 0.6 = 576
Therefore, 576 people who downloaded songs from the site that month downloaded Q Sam's latest single.
subtracting ... 0.4 x = 384
multiplying by 1.5 ... 0.6 x = ?