A least common multiple word problem about caring for a lawn

Baxter waters the lawn every 3 days and mows it every 7 days. He both watered and mowed the lawn July 2. When will he next water and mow on the same day?

Solution

Let us write down all the dates Baxter will water the lawn in July.

July 2: water the lawn

July 5: water the lawn

July 8: water the lawn

July 11: water the lawn

July 14: water the lawn

July 17: water the lawn

July 21: water the lawn

July 24: water the lawn

July 27: water the lawn

July 30: water the lawn


Now, let us write down all the dates he will mow the lawn

July 2: mow the lawn

July 9: mow the lawn

July 16: mow the lawn

July 24 : mow the lawn

July 31 : mow the lawn


After a close examination, we can see that he will water and mow the lawn on July 24.

The method above though is lengthy and time consuming. Is there is quicker way to get the same answer? Yes!

Just get the LCM of 3 and 7

LCM(3,7) = 21

21 days from July 3 will take us to July 24.

Click here to post comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Geometry word problems.

Recent Articles

  1. Box and Whiskers Plot

    Nov 18, 22 08:20 AM

    Easily learn to construct a box and whiskers plot for a set of data by using the median and the extreme values.

    Read More

  2. Binary Number System

    Nov 17, 22 10:53 AM

    This lesson will give you a deep and solid introduction to the binary number system.

    Read More

Tough algebra word problems

100 Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

Math quizzes

 Recommended

Math vocabulary quizzes