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






Nov 15, 18 05:01 PM
Modeling multiplication with number counters  Learning multiplication is fun!
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
Nov 15, 18 05:01 PM
Modeling multiplication with number counters  Learning multiplication is fun!
Our Top Pages
Formula for percentage
Compatible numbers
Basic math test
Basic math formulas
Types of angles
Math problem solver
Algebra word problems
Surface area of a cube
Finding the average
Scale drawings
Everything you need to prepare for an important exam!
K12 tests, GED math test, basic math tests, geometry tests, algebra tests.
Real Life Math Skills
Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.