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Here is another way to look at the problem.

Find the LCM of 3 and 5 which is 15.

In 15 hours Jack mows 5 lawns and Marilyn mows 3 lawns.

In 15 hours they mow 8 lawns.

15 hours/8 lawns= 1 7/8 hours per lawn

Hi Brooke;

Jack moves 1/3 of the lawn in one hour.

Marilyn mows 1/5 of the lawn in one hour.

x=quantity of hours

[(1/3)+(1/5)]x=1

Let's eliminate annoying fractions. (3)(5)=15 Therefore, let's multiply both sides by 15...

15[(1/3)+(1/5)]x=(1)(15)

(5+3)x=15

8x=15

Divide both sides by 8...

(8x)/8=15/8

x=15/8

x=1 7/8

x=1.875

It will require 1.875, 1 7/8, hours for both Jack and Marilyn to mow the lawn.

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