David W. answered 09/27/17
Tutor
4.7
(90)
Experienced Prof
"x represents the total number of people who downloaded songs from the site that month"
60% may be represented as 0.60 or (60/100), whichever is needed by the problem.
"60% of the people who downloaded songs from its site downloaded Q Sam's latest single" -- this is 0.6x
or, it could be (60/100)x or 0.60x
Now,
(number of people who downloaded songs) = (number who downloaded Q Sam's latest single) + (those who didn't)
x = 0.6x + 384
The 384 represent others who downloaded songs, but it was not Q Sam's latest single.
The problem asks,
"How many people who downloaded songs from the site that month downloaded Q Sam's latest single?"
or, reworded,
"What is 0.6x?"
First, we must find x:
x = 0.6x + 384
0.4x = 384 [subtract 0.6x from both sides]
x = 960 [divide both sides by 0.4]
0.6x = 0.6(960) = 576
576 people who downloaded songs that month downloaded Q Sam's latest single.