Answer: There were 290 downloads of the high-quality version.
Step-by-step explanation:
Let be "s" the number of downloads of the standard version and "h" the number of downloads of the high-quality version.
Set up a system of equations:
[tex]\left \{ {{s+h=1040 } \atop {2.1s+4.1h=2764}} \right.[/tex]
You can use the Elimination method. Multiply the first equation by -2.1, add the equations and then solve for "h":
[tex]\left \{ {{-2.1s-2.1h=-2184} \atop {2.1s+4.1h=2764}} \right.\\..............................\\2h=580\\\\h=\frac{580}{2}\\\\h=290[/tex]
Therefore, there were 290 downloads of the high-quality version.
