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katrin [286]
2 years ago
13

T Write a system of equations to describe the situation below, solve using any method, and fill in the blanks Dylan hosts a podc

ast 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.​
English
1 answer:
harkovskaia [24]2 years ago
4 0

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

<h3>How to solve the equation</h3>

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:

brainly.com/question/13763238

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