In a recent year, companies spent a total of $\$ 89.6$ billion on newspaper, television, and radio ads. The total amount spent on television and radio ads was only $\$ 3.2$ billion more than the amount spent on newspaper ads alone. The amount spent on newspaper ads was $\$ 5.4$ 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.)
How much was spent on newspaper ads? \$ billion
How much was spent on television ads? billion
How much was spent on radio ads? \$ billion
Answer
Final Answer: The amount spent on newspaper ads was \(\boxed{43.2}\) billion, the amount spent on television ads was \(\boxed{37.8}\) billion, and the amount spent on radio ads was \(\boxed{8.6}\) billion.
Step 1 ：Let's denote the amount spent on newspaper ads as N, the amount spent on television ads as T, and the amount spent on radio ads as R.
Step 2 ：From the problem, we know that: \(N + T + R = 89.6\) (the total amount spent on all three forms of advertising)
Step 3 ：\(T + R = N + 3.2\) (the total amount spent on television and radio ads was $3.2 billion more than the amount spent on newspaper ads)
Step 4 ：\(N = T + 5.4\) (the amount spent on newspaper ads was $5.4 billion more than what was spent on television ads)
Step 5 ：We can solve this system of equations to find the values of N, T, and R.
Step 6 ：The solution to the system of equations is: \(N = 43.2\), \(R = 8.6\), \(T = 37.8\)
Step 7 ：Final Answer: The amount spent on newspaper ads was \(\boxed{43.2}\) billion, the amount spent on television ads was \(\boxed{37.8}\) billion, and the amount spent on radio ads was \(\boxed{8.6}\) billion.
