Question

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.

Answer 1

Answer:the two equations that model the situation are

x + y = 48

3x + 2y = 15

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