Answer:
230
Step-by-step explanation:
Let number of downloads of standard version be x,
and
number of downloads of high quality version be y
We can write 2 equations and solve simultaneously.
"the high-quality version was downloaded three times as often as the standard version.":
[tex]y=3x[/tex]
"The size of the standard version is 2.3 megabytes (MB). The size of the high-quality version is 4.2 MB ... The total size downloaded for the two versions was 3427 MB":
[tex]2.3x+4.2y=3427[/tex]
Now, plugging in equation 1 into equation 2, we can solve for x (hence standard version downloads number):
[tex]2.3x+4.2y=3427\\2.3x+4.2(3x)=3427\\2.3x+12.6x=3427\\14.9x=3427\\x=230[/tex]
There were 230 downloads of the standard version
