AnthonyPerez6131 AnthonyPerez6131
  • 04-01-2020
  • Mathematics
contestada

Derek and Donnie mow 15 lawns over two 2 days. If Derek mows 3 lawns per hour and Donnie mows 2 lawns per hour, write an equation in standard form that models this.

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Favouredlyf Favouredlyf
  • 12-01-2020

Answer:the two equations that model the situation are

x + y = 48

3x + 2y = 15

Step-by-step explanation:

Let x represent the total number of hours that Derek worked.

Let y represent the total number of hours that Donnie worked.

Derek and Donnie mow 15 lawns over two 2 days. There are 24 hours in a day. Therefore, the number of hours in 2 days would be 2 × 24 = 48 hours. Therefore

x + y = 48 - - - - - - - - - -1

If Derek mows 3 lawns per hour and Donnie mows 2 lawns per hour, it means that

3x + 2y = 15 - - - - - - - - - 2

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