We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
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.
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.
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