anonymous
  • anonymous
a person attends a book sale. paper backs are sold for $2 and hard covers are sold for $4. If someone spends $26 on 8 books, how many hard cover books did they buy. write an equation
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
trouble setting up the equations? solving them? or both?
anonymous
  • anonymous
trouble setting up
anonymous
  • anonymous
ok, we want to know how many hard cover books they bought, so let that be X

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More answers

anonymous
  • anonymous
alright
anonymous
  • anonymous
let the paperbacks be Y can you write an equation for the total number of books sold?
anonymous
  • anonymous
26 = 4x + 2y
anonymous
  • anonymous
yes... and that was the hard equation to get but we need one more, since there are two variables.... so how many books were sold and what were they?
anonymous
  • anonymous
8 books were sold and were hard covered
anonymous
  • anonymous
why were they all hard covered? where does it say that?
anonymous
  • anonymous
but if that were true, your other equation would be X = 8 and this problem would be solved... don't think that's right though
anonymous
  • anonymous
X is the number of hardbacks; Y is the number of paperbacks; so...
anonymous
  • anonymous
unfortunatly this is all the book gave me as a question, although i paraphrased
anonymous
  • anonymous
you are overthinking this.... you know how many books were sold, some paper, some hard, so the equation is
anonymous
  • anonymous
how do you calculate a total?
anonymous
  • anonymous
that is my problem. This is the problem word for word A library is having a book sale to raise money. Hardcover books cost $4 and paperback books cost $2 each. A person spends $26 for 8 books. How many hardcover books did she purchase?
anonymous
  • anonymous
number of hardbacks sold + number of softbacks sold = 8 right?
anonymous
  • anonymous
I really don't know
anonymous
  • anonymous
how many books did she buy?
anonymous
  • anonymous
8
anonymous
  • anonymous
yes... and some were hardbacks and some paperbacks
anonymous
  • anonymous
but we need to write that in terms of X and Y
anonymous
  • anonymous
the number of hardbacks + the number of paperbacks = total number of books
anonymous
  • anonymous
so 4x + 2y?
anonymous
  • anonymous
no... still overthinking it... X + Y = 8
anonymous
  • anonymous
we said X was the number of hardbacks and Y was the number of paperbacks and we were told that 8 books in total were sold so X + Y = 8 does that make sense?
anonymous
  • anonymous
yes
anonymous
  • anonymous
now comes the harder part... which you already did
anonymous
  • anonymous
so is this a system of equations ?
anonymous
  • anonymous
((hardback price)(number of hardbacks) + (paperback price)(number of paperbacks) = total money spent
anonymous
  • anonymous
yes, two variables needs two equations to solve
anonymous
  • anonymous
just plug in the letters and numbers and you have both equations (this is the one you said way back up there somewhere)
anonymous
  • anonymous
got it ! thank you !

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