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Math Help - algebra equations

  1. #1
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    algebra equations

    After completing 5 of these problems tonight, this one has me stumped!

    In a recent year, companies spent a total of $84.8 billion on newspaper, television, and radio ads. The total amount spent on television and radio ads was only $2.6 billion more than the amount spent on newspaper ads alone. The amount spent on newspaper ads was $5.1 billion more than what was spent on television ads. How much was spent no each form of advertising? (Hint: Let the variables represent numbers of billions of dollars)

    Help on this would be greatly appreciated!!!!
    Todd
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  2. #2
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    Let n,\ t,\ r be the amount of money spent in Newspapers, Tv and Radio, in billions of dollars. Then we have:
    n+t+r=84.8 (amount spent all together)
    t+r-n=2.6 (tv and radio 2.6 billions more than newspapers)

    We subtract the second equation from the first, and the result is 2n=82.2\Rightarrowx=\frac{82.2}{2}=41.1.
    And we know that t=n-5.1=41.1-5.1=36

    We substitue the values of t and n in the first equation, and we get 84.4=n+t+r=41.1+36+r\Rightarrow r=84.8-41.1-36=7.7

    So the result is n=41.1,\ t=36,\ r=7.7
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