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?

Possible answers in green

576

240

144

** 960 was my answer... **

I'm havin trouble finidng x I thought you just had to do it the traditional way and not have a subsitutuon for x

So, what I did was

take the equation \(x =0.6x + 384\)

I gathered like terms

\(0.4x = 384\)

Then I divided 384 by 0.4

\(\frac{384}{0.4} = 960\)

so there I assumed x was equal to 960

HiylinLink Jun 13, 2019

#1**+5 **

You were correct on the first part, 960 is the answer to the first part of the equation

To prove that, you would have to solve for x

x = 0.6x + 384

Firstly, multipy both sides by 10

x * 10 = 0.6x + 384 * 10

x * 10 = 6x + 3840

Then subtract 6x on both sides

x * 10 - 6x = 6x + 3840 - 6x

4x = 3840

Then to single out the x on the left divide both sides by 4

\(\frac{4x}{4} = \frac{3840}{4}\)

x = 960

Then since it said 60% downloaded the song you would muliply 960 by 60%

960 * 60% = 576

576 is your final answer

Hope this Helps ;P

EmeraldWonder Jun 13, 2019

#1**+5 **

Best Answer

You were correct on the first part, 960 is the answer to the first part of the equation

To prove that, you would have to solve for x

x = 0.6x + 384

Firstly, multipy both sides by 10

x * 10 = 0.6x + 384 * 10

x * 10 = 6x + 3840

Then subtract 6x on both sides

x * 10 - 6x = 6x + 3840 - 6x

4x = 3840

Then to single out the x on the left divide both sides by 4

\(\frac{4x}{4} = \frac{3840}{4}\)

x = 960

Then since it said 60% downloaded the song you would muliply 960 by 60%

960 * 60% = 576

576 is your final answer

Hope this Helps ;P

EmeraldWonder Jun 13, 2019

#2**0 **

It's so weird though I got 960 wrong do you think it's something in the problem I'm suppose to look for? But also thanks for helping really means alot.

HiylinLink
Jun 13, 2019

#3**+10 **

But then it said that 60% of people downloaded the song so you got the first part rigt but you would hav to multiply 960 by 60% which would have gotten you 576.

EmeraldWonder
Jun 13, 2019

#5**-1 **

OOOOOHHH so thats the problem oh so x is equal to the total people on the store wow missed that thanks alot. and multiplying 60% we multiply 960 by 0.60 rigth?

HiylinLink
Jun 13, 2019