In a recent​ year, companies spent a total of $88.4 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 $5.6 billion more than what was spent on television ads. How much was spent on each form of​ advertising? How much was spent on newspaper ads? How much was spent on television ads? How much spent on radio ads?

Respuesta :

Answer:

(a) amount spent on newspaper ads = $42.8 billion.

(b) amount spent on television ads = $37.2 billion.

(c) amount spent on radio ads = $8.4 billion.

Step-by-step explanation:

Let us denote amount spent on Newspaper ads by symbol N.

                       amount spent on Television ads by symbol T.

                       amount spent on Radio ads by symbol R.

  • Given Total amount spent on newspaper, television, and radio ads =

                   N + T + R = $88.4 billion  -------- [Equation 1]

  • Total amount spent on television and radio ads was only $2.8 billion more than the amount spent on newspaper ads alone is represented by the expression :

                   T + R = $2.8 + N   ---------- [Equation 2]

  • The amount spent on newspaper ads was $5.6 billion more than what was spent on television ads.

                       N = $5.6 + T ----------- [Equation 3]

Now, taking value of R from Equation 1 and Equation 2 respectively we get;

              R = $88.4 - T - N ------------ [Equation 4]

              R = $2.8 + N - T ------------- [Equation 5]

Equating and solving Equation 4 and 5 we get,

           $88.4 - T - N = $2.8 + N - T

            $88.4 - $2.8 = 2*N

    Hence, N = $42.8 billion.

Now putting value of N in Equation 3 we get T = $42.8 - $5.6 = $37.2 billion.

And at last putting values of N & T in Equation 1 we get,

               R = $88.4 - $37.2 - $42.8 = $8.4 billion .

Therefore, amount spent on newspaper ads = $42.8 billion.

                  amount spent on television ads = $37.2 billion.

                  amount spent on radio ads = $8.4 billion.