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Math Help - [SOLVED] An Algebra II Problem: Involving A System of Equations I Think

  1. #1
    Newbie stmsnyder1's Avatar
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    [SOLVED] An Algebra II Problem: Involving A System of Equations I Think

    Hey-

    Can someone explain how to do this Algebra II problem?

    The top two selling DVDs of 2003 grossed a combined total of $600.9 million. The top selling DVD grossed 39.9 million more than the DVD ranked 2nd. How much did the top selling DVD gross?

    I know the answer is 320.4 million dollars, but I don't know how the person I got it from, got that answer, so if someone could explain it to me, I would greatly appreciate it. I know the person used an equation, or a system of equations, something like that.

    -Isabel
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    Quote Originally Posted by stmsnyder1 View Post
    Hey-

    Can someone explain how to do this Algebra II problem?

    The top two selling DVDs of 2003 grossed a combined total of $600.9 million. The top selling DVD grossed 39.9 million more than the DVD ranked 2nd. How much did the top selling DVD gross?

    I know the answer is 320.4 million dollars, but I don't know how the person I got it from, got that answer, so if someone could explain it to me, I would greatly appreciate it. I know the person used an equation, or a system of equations, something like that.

    -Isabel

    Let x denote the money you get from the top selling DVD and y the amount of money you get from the second from top(?). Then you know:

    x+y=\$600.0\cdot 10^6

    x-\$39.9\cdot 10^6 = y

    Plug in the term of y into the first equation:

    x+x-\$39.9\cdot 10^6 = \$600.0\cdot 10^6

    Solve for x.
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    Newbie stmsnyder1's Avatar
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