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algebra word problem

algebra word problem

Kanvus	28 Jun, 2009 - 02:12 AM Post #1
D.I.C Regular Joined: 19 Feb, 2009 Posts: 451 Thanked: 39 times Dream Kudos: 50 My Contributions	I hope Math counts as "other language" cus I don't know anywhere on this site to ask @.@ Once in a while I come across a word problem that I get obsessed with for 6+ hours and sometimes days or more. Because I know it's gonna come back and get me :[ They're just so hard to visualize and translate to an equation. "Your weekly paycheck is 15% more than your coworker's. Your two paychecks total $989. Find the amount of your paycheck." a ) $578 b ) $460 c ) $598 d ) $530 e ) $529 √ Correct answer is e What I so desperately want to know is what the equation looks like for that whole thing. Right now this is my closest guess: 2(x + .15) = 989 which is so far from anything correct. Anyone see what it might be? This post has been edited by Kanvus: 28 Jun, 2009 - 02:13 AM
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firebolt	RE: Algebra Word Problem 28 Jun, 2009 - 04:16 AM Post #2
D.I.C Lover Joined: 20 Feb, 2009 Posts: 5,463 Thanked: 75 times Dream Kudos: 1675 My Contributions	Let x be your coworker, and therefore, 1.15x be yourself. (i.e. 15% more than the coworker). So x + 1.15x = 989 which equals 2.15x = 989. Solve for x so x = 460. Hence your coworker is 460 and yourself is 989 - x = 989 - 460 = 529.
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firebolt	RE: Algebra Word Problem 28 Jun, 2009 - 05:29 AM Post #3
D.I.C Lover Joined: 20 Feb, 2009 Posts: 5,463 Thanked: 75 times Dream Kudos: 1675 My Contributions	I would also like to ask, how ever did you get that equation?
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NickDMax	RE: Algebra Word Problem 28 Jun, 2009 - 01:41 PM Post #4
Can grep dead trees! Joined: 18 Feb, 2007 Posts: 5,216 Thanked: 285 times Dream Kudos: 1175 Expert In: Java/C++ My Contributions	or another look: CODE x == my pay y == coworker's pay x = y * 1.15 x + y = 989 y = 989 - x x = (989 - x) * 1.15 x = (989 - x) * 23/20 x = (989*23)/20 - 23x/20 20x + 23x = 22747 43x = 22747 x = 22747/43 = 529
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