# SOLUTION: Mylan spent \$3 on a magazine. He spent half of his remaining money on a video. He then spent half of his remaining money on a book. He had \$12 left. How much money did Mylan begin

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Misc -> SOLUTION: Mylan spent \$3 on a magazine. He spent half of his remaining money on a video. He then spent half of his remaining money on a book. He had \$12 left. How much money did Mylan begin       Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Word Problems: Miscellaneous Word Problems Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Miscellaneous Word Problems Question 277188: Mylan spent \$3 on a magazine. He spent half of his remaining money on a video. He then spent half of his remaining money on a book. He had \$12 left. How much money did Mylan begin with?Found 2 solutions by Edwin McCravy, unlockmath:Answer by Edwin McCravy(8882)   (Show Source): You can put this solution on YOUR website!Mylan spent \$3 on a magazine. He spent half of his remaining money on a video. He then spent half of his remaining money on a book. He had \$12 left. How much money did Mylan begin with? ``` You can do it in your head or by algebra. I'll show you both ways. In your head: Retrace his steps. After buying the book he had \$12, so he must have had \$24 before buying the book, since he spent half his remaining money on the book and ended up with \$12. That \$24 is how much he had after buying the video. So he must have had \$48 before buying the video, since he spent half his remaining money on the video and ended up with \$24. That \$48 is how much he had just after he bought the \$3 magazine. Therefore he must have started with \$51. By algebra: He started with . Then he spent on a magazine and had left. He spent half of his remaining money on a video, and had half of it left, which was . He then spent half of his remaining money on a book, so that he had or left. The problem says "He had \$12 left". Therefore or multiplying both sides by 4, . Edwin``` Answer by unlockmath(1599)   (Show Source): You can put this solution on YOUR website!Hello, I'll see if I can help you on this one. (It's written a bit unclear) Let x represent the total amount of money Mylan starts with so we can write the following: 3+(x-3)/2+(x-3)/4+12=x Multiply by 4 to get rid of the fractions: 12+2(x-3)+(x-3)+48=4x Combine like terms to get: 51+3x=4x Subtract 3x from both sides to get: x=51 There we go. He started with \$51. check it out to see if it works. Good problem! RJ Check out a new book at: www.math-unlock.com