EvelynL13
contestada

T Write a system of equations to describe the situation below, solve using any method, and fill in the blanks Dylan hosts a podcast about computers, and Greg hosts a podcast about parenting. Both podcasts have a set duration for each episode. Last year, Dylan released 41 episodes and Greg released 36 episodes, for a total of 8,512 minutes of content. This year, Dylan released 18 episodes and Greg released 40 episodes, which lasted a total of 7,584 minutes. How long is each episode? minutes long, and each episode of Greg's podcast Each episode of Dylan's podcast is minutes long.​

Respuesta :

From the equation solved, Dylan episode is 68 while Greg episode is 159.

How to solve the equation

Let Dylan episode be x.

Let Greg episode be y.

The equation based on the question will be:

41x + 36y = 8512 .... i

18x + 40y = 7584 .... ii

Multiply equation i by 40

Multiply equation ii by 36

1640x + 1440y = 340480

648x + 1440y = 273024

Subract the equations

992x = 67456

x = 68

Since 18x + 40y = 7584

18(68) + 40y = 7584

1224 + 40y = 7584

40y = 7584 - 1224

40y = 6360

y = 6360/40

y = 159

Dylan episode is 68 while Greg episode is 159.

Learn more about equations on:

https://brainly.com/question/13763238

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