Bessy and Bob algebra word problem

Bessy has 6 times as much money as Bob. But when each earns $6, Bessy will have 3 times as much money as Bob. How much does each have before and after earning the $6?


Let x be Bob's money, then Bessy's money is 6x

When Bob earns 6 dollars, his money becomes x + 6

When Bessy earns 6 dollars his money becomes 6x + 6

Now Bessy has 3 times as much money as Bob

so the equation is

6x + 6 = 3 * (x + 6)

6x + 6 = 3x + 18

6x + 6 - 6 = 3x + 18 - 6

6x = 3x + 12

6x - 3x = 3x - 3x + 12

3x = 12

x = 4

Before Bob and Bessy earned 6 dollars, Bob had 4 dollars and Bessy has 6 x 4 = 24

After they both earned 6 dollars, Bob had 10 dollars and and Bessy had 30 dollars.

Indeed 30 is 3 times 10.

Comments for Bessy and Bob algebra word problem

Average Rating starstarstarstarstar

Click here to add your own comments

Aug 21, 2017
This is a very good Question. NEW
by: Mathiscool

Thanks for this wonderful question and its solution,it helps me think of more ways to solve algebra.This site it great, keep up the good work.

Aug 14, 2017
Brilliant NEW
by: Kaycontinental

That is the first time I have ever seen a problem worked out like that, and I thought it was great. Only first, could you have suggested (I read this somewhere else) that you have to deduct (or add) to both sides?

Click here to add your own comments

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

Recent Articles

  1. Fundamental Counting Principle

    Jun 06, 23 07:32 AM

    Multiplication principle and addition principle
    The fundamental counting principle is introduced in this lesson. Learn how to count with the multiplication principle and the addition principle.

    Read More

  2. 45-45-90 Triangle

    May 01, 23 07:00 AM

    45-45-90 triangle
    What is a 45-45-90 triangle? Definition, proof, area, and easy to follow real-world examples.

    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


Math vocabulary quizzes