document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=522779>Question 522779</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hello, my name is arielena<BR>\n" );
document.write( "These problems are about algebra 1 : linear word problems. I was wondering if you can help me solve a few linear problems ? or at least teach me how to solve problems like them ? My teacher doesn't teach very well and I don't understand a thing she teaches so please help . Thank you.<BR>\n" );
document.write( "here's the 2 Im stuck on .. <BR>\n" );
document.write( "1) Abbey and Blanca are playing games at the arcade in the mall. Abbey has $20 and is playing a game that costs 50 cents per game. Blanca arrived at the arcade with $22 and is playing a game that costs 75 cents per game. <BR>\n" );
document.write( "     a. create two linear equations below that give the amount that each girl has left as a function of the number of games they have played. <BR>\n" );
document.write( "Let the number of games played = x.<BR>\n" );
document.write( "A.____________ B.____________      <BR>\n" );
document.write( "     b. After how many games will the two girls have the same amount of money left? <BR>\n" );
document.write( "     c. How much money do they have at this point?\r<BR>\n" );
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document.write( "2) The length of a rectangle garden is three feet more than twice its width.<BR>\n" );
document.write( "     a. If the width of this garden is given by w then write an expression, in terms,for the length, l, of the garden.<BR>\n" );
document.write( "     b. Write an expression, in terms of w, for the perimeter of the garden. Remember,the perimeter is the sum of the two widths and the two lengths.<BR>\n" );
document.write( "     c. If the perimeter of the garden is 114 feet, then what is the width of the garden?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #346999 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=346999\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "a. create two linear equations below that give the amount that each girl has nleft as a function of the number of games they have played. \r<BR>\n" );
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document.write( "Total Amount Abbey has = $20<BR>\n" );
document.write( "Number of games played = x<BR>\n" );
document.write( "Game cost = 50 cents or $0.5<BR>\n" );
document.write( "Amount spent on games = x*0.5=0.5x<BR>\n" );
document.write( "Amount  with Abbey left = y = 20-0.5x....................(1)\r<BR>\n" );
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document.write( "Total Amount Blanca has = $22<BR>\n" );
document.write( "Number of games played = x<BR>\n" );
document.write( "Game cost = 75 cents or $0.75<BR>\n" );
document.write( "Amount spent on games = x*0.75=0.75x<BR>\n" );
document.write( "Amount left with Blanca = y =22-0.75x....................(2)\r<BR>\n" );
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document.write( "    <BR>\n" );
document.write( "b. After how many games will the two girls have the same amount of money left? \r<BR>\n" );
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document.write( "Amount left with Abbey = Amount left with Blanca<BR>\n" );
document.write( "20-0.5x = 22-0.75x<BR>\n" );
document.write( "0.75x-0.5x=22-20<BR>\n" );
document.write( "0.25x=2<BR>\n" );
document.write( "0.25x/0.25=2/0.25<BR>\n" );
document.write( "x=8<BR>\n" );
document.write( "After 8 games amount of money left with each of them will be equal. \r<BR>\n" );
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document.write( "c. How much money do they have at this point?\r<BR>\n" );
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document.write( "Amount  with Abbey left = y = 20-0.5x....................(1)<BR>\n" );
document.write( "Amount  with Abbey left = y = 20-0.5(8)<BR>\n" );
document.write( "Amount  with Abbey left = y = 20-4<BR>\n" );
document.write( "Amount  with Abbey left = y = $16\r<BR>\n" );
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document.write( "Amount left with Blanca = y =22-0.75x....................(2)<BR>\n" );
document.write( "Amount left with Blanca = y =22-0.75(8)<BR>\n" );
document.write( "Amount left with Blanca = y =22-6<BR>\n" );
document.write( "Amount left with Blanca = y =$16\r<BR>\n" );
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document.write( "2) The length of a rectangle garden is three feet more than twice its width.\r<BR>\n" );
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document.write( "a. If the width of this garden is given by w then write an expression, in terms,for the length, l, of the garden.\r<BR>\n" );
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document.write( "l=2w+3\r<BR>\n" );
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document.write( "b. Write an expression, in terms of w, for the perimeter of the garden. Remember,the perimeter is the sum of the two widths and the two lengths.\r<BR>\n" );
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document.write( "p=2w+2l<BR>\n" );
document.write( "Put the value of l in above equation<BR>\n" );
document.write( "p=2w+2(2w+3)<BR>\n" );
document.write( "p=2w+4w+6<BR>\n" );
document.write( "p=6w+6<BR>\n" );
document.write( "p-6=6w<BR>\n" );
document.write( "(p-6)/6=6w/6<BR>\n" );
document.write( "(p-6)/6=w<BR>\n" );
document.write( "w=(p-6)/6<BR>\n" );
document.write( "w=p/6-6/6<BR>\n" );
document.write( "w=p/6-1\r<BR>\n" );
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document.write( "c. If the perimeter of the garden is 114 feet, then what is the width of the garden?\r<BR>\n" );
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document.write( "w=p/6-1<BR>\n" );
document.write( "w=144/6-1<BR>\n" );
document.write( "w=24-1<BR>\n" );
document.write( "w=23 feet<BR>\n" );
document.write( "  </SPAN>\n" );
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