Quinn Posted January 30, 2013 Share Posted January 30, 2013 It's been too long for me, but I ran accross this snippet of information the The Week magazine: "Almost a third of the nation's workers can't take sick days when they fall ill. While 80 percent of full-time employees get paid sick days, only 25 percent of part-timers do." This should be enough information to determine what percent of all workers are full vs. parttime. 20 percent full-timers plus 75 percent part-timers equals one third of the total workforce. A full page of notes and I've got an answer, but would be interested to see how I should have done it. ------ Link to comment
Joe Frickin' Friday Posted January 30, 2013 Share Posted January 30, 2013 Let X = fraction of workforce that is full-timers Let Y = fraction of workforce that is part-timers then .2*X + .75*Y = 1/3 X + Y = 1 Rearrange the second equation to get X = 1-Y Substitute into the first equation to get .2*(1-Y) + .75*Y = 1/3 ... .55*Y = 1/3 - 0.2 ... .55*Y = 0.1333333333 Y = 24% of the workforce is part-timers X = 76% of the workforce is full-timers Did we get the same answers? Link to comment
blackyam Posted January 30, 2013 Share Posted January 30, 2013 *Proposal* f= full-time p= part-time (1/5)f + (3/4)p = (1/3)(f+p) (5/12)p = (2/15)f 25/8 = f/p So, the ratio of full-time to part-time is 25:8, and therefore percent full-time = 25/33 = 76% percent part-time = 8/33 = 24% Ta, da! :-) (I think) ;-) ---John. Link to comment
Quinn Posted January 30, 2013 Author Share Posted January 30, 2013 Wow, my method, such that it is, was half way between. F= full P= part W= workers F/5 + 3P/4 = W/3 P= W-F F/5 + 3(W-F)/4 = W/3 Then I got a little lost trying to remember how to multiply and divide fractions, lowest common denominator vs. greatest common factors, for about half a sheet of paper before I came out with the same amswers. ----- Link to comment
Jerry_75_Guy Posted January 30, 2013 Share Posted January 30, 2013 Six? Taking all of the previous posts as the lead up... Best. Punchline. Ever. :-) Link to comment
EffBee Posted January 30, 2013 Share Posted January 30, 2013 I was good at this stuff back (waaaaay back) in school. But I've not needed it in my professional life, so I've lost my connection to it. But I'm impressed by those who still have these skills at their fingertips. I probably would have Kloogeed up an answer and gotten somewhere close (or not) and figured if I really wanted to know I can always dig up my old algebra books (actually still have them) or I can PM Mitch. Link to comment
kmac Posted January 30, 2013 Share Posted January 30, 2013 I failed basic algebra back in high school...so I am going with "Y"...double entendre....lol Link to comment
flars Posted January 30, 2013 Share Posted January 30, 2013 If the Unrally is held in Blowing Rock, NC, and a rider leaves Atlanta, Ga at 0700 on a Wednesday morning, . . . How far will Mitch get before he loses his final drive? Link to comment
elkroeger Posted January 30, 2013 Share Posted January 30, 2013 Find X: mX + b = Y. mX + b = Y It's right there, in red. Link to comment
elkroeger Posted January 30, 2013 Share Posted January 30, 2013 Six? Keep your eyes on your own work! Link to comment
Quinn Posted January 30, 2013 Author Share Posted January 30, 2013 Coming next week we'll be diagraming sentences in the past superflous tense using iambic pentameter phrases. ----- Link to comment
kmac Posted January 30, 2013 Share Posted January 30, 2013 Do I google those words, wiki them or "ask" to find out what you said? Link to comment
Redbrick Posted January 31, 2013 Share Posted January 31, 2013 Coming next week we'll be diagraming sentences in the past superflous tense using iambic pentameter phrases. ----- Boy, that ages you (and me).......I don't think "middle aged" folks know what diagraming sentences means....... Link to comment
tallman Posted January 31, 2013 Share Posted January 31, 2013 Grammar, diagraming sentences, and spelling are again being emphasized after the carnage of whole language and ebonics. Dun mite bee two lait four sum. Link to comment
Albert Posted January 31, 2013 Share Posted January 31, 2013 Coming next week we'll be diagraming sentences in the past superflous tense using iambic pentameter phrases. ----- Boy, that ages you (and me).......I don't think "middle aged" folks know what diagraming sentences means....... Ain't that the truth. I took 3 years of Latin. note, it was NOT an elective. Link to comment
tallman Posted January 31, 2013 Share Posted January 31, 2013 I dunno Albert, back in the day, even babies learned Latin in just 2 years. To get back to OP, studies show that bi/polylingual individuals have more brain activity when studied under a PET scan wrt math/music etc. Link to comment
Albert Posted January 31, 2013 Share Posted January 31, 2013 I dunno Albert, back in the day, even babies learned Latin in just 2 years. I didn't say I passed all 3 years. Link to comment
Sonor Posted January 31, 2013 Share Posted January 31, 2013 To answer the original question, I think the Earth had it right with 42. Seriously, I would have to say I believe the equation with (1/5)x was the winner. I was never good at taking verbiage and turning it into equations, but I could solve the suckers without a problem. (For the non geeks, "Hitch Hikers Guide to the Galaxy") Link to comment
Skywagon Posted February 1, 2013 Share Posted February 1, 2013 Another way....Lee...send my CFO in here...I have a question for him.... Link to comment
elkroeger Posted February 1, 2013 Share Posted February 1, 2013 ...I didn't say I passed all 3 years. Dang, I was gonna ask you to translate this for me: Dun mite bee two lait four sum. Link to comment
Quinn Posted February 1, 2013 Author Share Posted February 1, 2013 So, how many people thought this thread was going to be about the mideastern terrorist organization--Al Gebra? How many were afraid they were going to release weapons of math instruction? No pun too bad to share. ----- Link to comment
tallman Posted February 1, 2013 Share Posted February 1, 2013 CIA early data shows increase in their use of Weapons of Mass Instruction... Link to comment
kmac Posted February 1, 2013 Share Posted February 1, 2013 I am gonna have to have my genius daughter translate this thread for me... I was gonna guess: Volume 11? Link to comment
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