document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=302052>Question 302052</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this impossible problem\r<BR>\n" );
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document.write( "Jake has 6 coins.<BR>\n" );
document.write( "Ellie has 12 coins.<BR>\n" );
document.write( "There is a total of 5 quarters.<BR>\n" );
document.write( "Jake has more than $1<BR>\n" );
document.write( "Jake's coins are worth three times as much as Ellie's coins.\r<BR>\n" );
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document.write( "How much money does Jake have?<BR>\n" );
document.write( "How much money does Ellie have?\r<BR>\n" );
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document.write( "My niece's teacher apparently wants us to show our work (my niece is in the 2nd grade and she somehow has this problem for a test. she's failing most of her tests and I want to find out why.) There is supposed to be a non-algebraic way to solve this problem since she is only in the 2nd grade. I hope you can reply soon. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #216594 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=216594\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2nd grade? I was taking remedial sandbox and advanced crayons.<BR>\n" );
document.write( "This is a problem where she has to come to some logical <BR>\n" );
document.write( "conclusions and put them together to get what they're<BR>\n" );
document.write( "looking for<BR>\n" );
document.write( "They don't say anything about it, but any number of pennies, nickels,<BR>\n" );
document.write( "and dimes may be used<BR>\n" );
document.write( "I focused on \"Jake has more than $1\"<BR>\n" );
document.write( "(case #1)  Jake could have 3 quarters and 3 dimes, giving him $1.05<BR>\n" );
document.write( "(case #2) or, he could have 4 quarters, and it doesn't matter what the other 2 coins are<BR>\n" );
document.write( "(case #3) 0r, he could have 5 quarters, and it doesn't matter what the other coin is<BR>\n" );
document.write( "Now I look at \"Jake's coins are worth 3 times Ellie's coins\"<BR>\n" );
document.write( "So, Jakes coins must be evenly divisible by 3<BR>\n" );
document.write( "for case #1: 1.05/3 = .35<BR>\n" );
document.write( "So, if Ellie has 12 coins, and I know 2 of them are quarters, she's already got<BR>\n" );
document.write( "$.50, so case #1 doesn't work<BR>\n" );
document.write( "for case #2: Jake could have:<BR>\n" );
document.write( "$1.20 (4 quarters and 2 dimes)<BR>\n" );
document.write( "$1.10 (4 quarters and 2 nickels)<BR>\n" );
document.write( "$1.15 (4 quarters , a nickel and a dime)<BR>\n" );
document.write( "$1.11 (4 quarters, a dime and a penny)<BR>\n" );
document.write( "$1.06 (4 quarters, a nickel, and a penny)<BR>\n" );
document.write( "$1.02 (4 quarters and 2 pennies)<BR>\n" );
document.write( "The right one has to be evenly divisible by 3<BR>\n" );
document.write( "$1.20/3 = .40<BR>\n" );
document.write( "$1.11/3 = .37<BR>\n" );
document.write( "$1.02/3 = .34<BR>\n" );
document.write( "Now Ellie has 1 quarter, so her 11 remaining coins must add up to<BR>\n" );
document.write( ".40 - .25 = .15 <BR>\n" );
document.write( "or<BR>\n" );
document.write( ".37 - .25 = .12<BR>\n" );
document.write( "or<BR>\n" );
document.write( ".34 - .25 = .09<BR>\n" );
document.write( "There's no way to get the last 2 with 11 coins, but<BR>\n" );
document.write( ".15 = 10 pennies and a nickel<BR>\n" );
document.write( "So, she ends up with 1 quarter, 10 pennies, and 1 nickel<BR>\n" );
document.write( "when Jake has 4 quarters and 2 dimes<BR>\n" );
document.write( "Now I just have to deal with case #3<BR>\n" );
document.write( "Jake has either:<BR>\n" );
document.write( "5 quarters and a dime = $1.35<BR>\n" );
document.write( "5 quarters and a nickel = $1.30<BR>\n" );
document.write( "5 quarters and a penny = $1.26<BR>\n" );
document.write( "$1.35/3 = .45<BR>\n" );
document.write( "$1.26/3 = .42<BR>\n" );
document.write( "Nellie has 12 coins to make $.45<BR>\n" );
document.write( "That would be 5 pennies, 6 nickels, and 1 dime<BR>\n" );
document.write( "I can't seem to make $.42 with 12 coin, but no quarters<BR>\n" );
document.write( "So, what I finally come up with is:<BR>\n" );
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document.write( "When Jake has 4 quarters and 2 dimes,<BR>\n" );
document.write( "Nellie has 1 quarter 1 nickel, 10 pennies<BR>\n" );
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document.write( "When Jake has 5 quarters and 1 dime,<BR>\n" );
document.write( "Nellie has 1 dime, 6 nickels, and 5 pennies<BR>\n" );
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document.write( "Whew! What grade is she in?<BR>\n" );
document.write( "This was hard for me. I'm still not sure I've<BR>\n" );
document.write( "got all the answers and I've got 2 years of college </SPAN>\n" );
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