Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ A TV station executive is planning the new lineup for next season's shows. On Monday nights, there will be 3 sitcoms and 2 dramas, totaling 155 minutes of programming, excluding commercials. On Tuesday nights, she has scheduled 1 sitcom, totaling 25 minutes of non-commercial programming. All sitcoms have the same length, and all dramas have the same length. How long is each type of show?

A) Sitcoms are 25 minutes long, and dramas are 40 minutes long.
B) Sitcoms are 40 minutes long, and dramas are 25 minutes long.
C) Sitcoms are 25 minutes long, and dramas are 80 minutes long.
D) Sitcoms are 80 minutes long, and dramas are 25 minutes long.

Let [tex]$x$[/tex] be the length of each sitcom and [tex]$y$[/tex] be the length of each drama.

On Tuesday, the schedule has 1 sitcom for a total of 25 minutes. This gives us:
[tex]$$
x = 25.
$$[/tex]

On Monday, there are 3 sitcoms and 2 dramas for a total of 155 minutes. The equation is:
[tex]$$
3x + 2y = 155.
$$[/tex]

Substitute [tex]$x = 25$[/tex] into the equation:
[tex]$$
3(25) + 2y = 155.
$$[/tex]

Calculate [tex]$3(25)$[/tex]:
[tex]$$
75 + 2y = 155.
$$[/tex]

Subtract 75 from both sides:
[tex]$$
2y = 155 - 75 = 80.
$$[/tex]

Divide by 2:
[tex]$$
y = \frac{80}{2} = 40.
$$[/tex]

Thus, each sitcom is 25 minutes long, and each drama is 40 minutes long. The best answer is:

a) Sitcoms are 25 minutes long, and dramas are 40 minutes long.