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Re: Systems of Linear Equations
Posted:
Jan 29, 2011 4:53 PM


In article <4d20b9dc92ad4525bcb12136548271ca@b8g2000vbi.googlegroups.com>, The Qurqirish Dragon <qurqirishd@aol.com> wrote:
> On Jan 29, 1:24 am, Barb Knox <s...@sig.below> wrote: > > In article > > <1350903580.11101.1296246811610.JavaMail.r...@gallium.mathforum.org>, > > > > mathematicsstudent <mathematicsstud...@hotmail.com> wrote: > > > Hello, > > > > > I have to solve this problem: > > > > > The manager of a bulk foods establishment sells a trail mix for $8 per > > > pound > > > and premium cashews for $15 per pound. The manager wishes to make a > > > 105pound > > > trail mixcashew mixture that will sell for $12 per pound. How many > > > pounds of > > > each should be used? > > > > <rant> > > > > Yet another wretched attempt to make a mathematics problem seem relevant > > to the "real world". In the actual real world, the price a retailer > > charges for a mixture is NOT determined by the prices charged for the > > separate ingredients. In the actual real world, the retailer would be > > more likely to put in about 20% cashews and charge $11.95 per pound for > > the New CashewEnhanced Trail Mix. > > > > The really sad aspect of this is that with a half a minute of thought > > the problem writer could have come up with a mixture problem that did > > make sense in the "real world". > > > > </rant> > > > And similarly the cost of packaging is different, and then you have > increased cost from buying smaller quantities of the two types before > mixing, and the shopkeep is greedy, and there is another store across > the street selling an unknown mixture of these for $11, and... > I hope you get the point of that. The use of nuts and trail mix is NOT > to give a realworld example, but rather to make something concrete > that people who aren't pure math thinkers can hopefully grasp more > easily. > Word this problem anyway you want, and I can find something that > doesn't match the "real world"
I accept your challenge:
Barbara has the job of providing some nibblies for a party, with a strict budget of $24 for 2 pounds mixed nuts which must include cashews, since that's the host's favourite. The local bulk food store does have mixed nuts at $8 per pound (tax inclusive), but these lack cashews. They also have just cashews at $15 per pound (tax inclusive). What quantity of each of those two items should she buy in order to make 2 pounds altogether for $24?
> Even if you want to remain reasonable, they don't want to use 3 pages > in a book for one word problem.
My example is short, and even has a little bit of drama in it.
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