Problema Solution

In a recent week, three television networks together averaged a total of 27.6 million viewers. Network 1 had 1.4 million more viewers than Network 2, and Network 3 had 1.4 million fewer viewers than Network 2. How many viewers did each network have?

Answer provided by our tutors

let


x1 = the number of viewer Network 1 had


x2 = the number of viewer Network 2 had


x3 = the number of viewer Network 3 had


In a recent week, three television networks together averaged a total of 27.6 million viewers


x1 + x2 + x2 = 27.6


Network 1 had 1.4 million more viewers than Network 2


x1 = 1.4 + x2


Network 3 had 1.4 million fewer viewers than Network 2


x3 = 1.4 + x2


by solving the system of equations:


x1 + x2 + x2 = 27.6


x1 = 1.4 + x2


x3 = 1.4 + x2


we find:


x1 = 10.13 million viewers


x2 = 8.73 million viewers


x3 = 10.13 million viewers


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Network 1 had 10.13 million viewers.


Network 2 had 8.73 million viewers.


Network 3 had 10.13 million viewers.