The amount of hours that Eric spends watching TV in a year is 2745. His friend Frankie also loves to watch The total amount of hours they both watch is 5897. How many hours does Frankie watch TV in a year? Please set up a key, set up the equation , and then solve the equation .

Respuesta :

Answer:

Frankie spends 3152 hours watching TV in a year

Explanation:

Given that Eric spends 2745 hours watching TV in a year, and together with his friend, Frankie, they spend 5897 hours watching TV in a year.

Let x represent the number of hours Frankie spends watching TV, then the sum of the number of hours of both Eric and Frankie is 5897.

This is represented algebraically as:

[tex]x+2745=5897[/tex]

To know the number of hours Frankie spends watching TV, we solve for x in the equation we formed above.

Solving for x

Subtract 2745 from both sides of the equation

[tex]\begin{gathered} x+2745-2745=5897-2745 \\ \\ x=3152 \end{gathered}[/tex]

Therefore, Frankie spends 3152 hours watching TV in a year