Question

(PLEASE HELP, I get confused in these types of questions and end up getting them wrong, please help) A music store offers two versions of a popular song. the size of the standard version is 2.4 MB. the size of the High-quality version is 4.2 MB. Yesterday there were 1240 downloads of the song, for a total download size of 3678 MB. How many downloads of the standard version were there?

Answer 1

2.4(x) + 4.2(1240-x) = 3678

Answer 2

x is the number of low quality downloads, 1240-x is the number of high quality downloads. you are multiplying each quantity by their respective size, and summing to the total download size of 3678 mb

Answer 3

After distributing, your equation is:

\[2.4x + 5208 - 4.2x = 3678\]

Answer 4

Combining like terms:

\[5208-1.8x = 3678\]

Isolating x:

\[1.8x = 5208-3678\]\[1.8x = 1530\]\[x = \frac{1530}{1.8}\]\[x = 850\]

So, there were 850 low quality downloads.

Answer 5

S = standard Q = high-quality

S+Q = 1240 total downloads

2.4 S + 4.2 Q = 3678 total Mbytes

Find S and Q.

Eliminate S temporarily by multiplying the first equation by -2.4 and adding the two equations together to get an equation in Q alone

-2.4 S -2.4 Q = (-2.4)(1240) = -2976
2.4 S + 4.2 Q = 3678 total Mbytes
gives
1.8 Q = 702
Q = 702/1.8 = 390 downloads
S = 1240 - 390 = 850 downloads

There you are.

Answer 6

Since there are 1240-x high quality downloads, x = 850, meaning there are 1240-850 high quality download = 390 high quality downloads.

Answer 7

Thank you both so much.

Answer 8

You're welcome :) Do you understand how to set up these problems now?

Answer 9

Yes, you both gave me a better understanding of it. Thanks again.

Answer 10

Great, have a nice day!!