Question 1114034: In a recent year, companies spent a total of $87.6 billion on newspaper, television, and radio ads. The total amount spent on television and radio ads was only $2.8 billion more than the amount spent on newspaper ads alone. The amount spent on newspaper ads was $5.5 billion more than what was spent on television ads. How much was spent on each form of advertising? (Hint: Let the variables represent numbers of billions of dollars.)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In a recent year, companies spent a total of $87.6 billion on newspaper, television, and radio ads. The total amount spent on television and radio ads was only $2.8 billion more than the amount spent on newspaper ads alone. The amount spent on newspaper ads was $5.5 billion more than what was spent on television ads. How much was spent on each form of advertising? (Hint: Let the variables represent numbers of billions of dollars.)
Equations:
n + t + r = 87.6
t + r = n + 2.8
n = t + 5.5
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Rearrange::
n + t + r = 87.6
n - t - r = -2.8
n - t + 0 = 5.5
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Use any method you know to solve the system to get:
n = 42.4
t = 36.9
r = 8.3
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I used my TI-84+ Matrix function.
Cheers,
Stan H.
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