document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018938>Question 1018938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> NEED ANSWERS\r<BR>\n" );
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document.write( "1.   Brass is an alloy made by melting and mixing copper and zinc. A metallurgist has two brass alloys, one that is 65% copper and one that is 90% copper. He would like to combine a portion of each alloy to produce 500 g of a new alloy that is 75% copper.\r<BR>\n" );
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document.write( "3. For a local carnival, adult tickets cost $32 and child tickets cost $14. If 193 people attended the carnival, and they paid $4 034 altogether, how many adults and how many children were there?\r<BR>\n" );
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document.write( "a.   Write a system of equations that can be used to represent this scenario.<BR>\n" );
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document.write( "b.   Solve the system of equations.<BR>\n" );
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document.write( "c.   How many adults and how many children were there?<BR>\n" );
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document.write( "d.   Does the conclusion agree with the original information?<BR>\n" );
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document.write( "4.   Tanya has 44 quarters and dimes worth $8.30. How many of each type of coin does she have?<BR>\n" );
document.write( "		Answer:<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634917 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=634917\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Brass is an alloy made by melting and mixing copper and zinc. A metallurgist has two brass alloys, one that is 65% copper and one that is 90% copper. He would like to combine a portion of each alloy to produce 500 g of a new alloy that is 75% copper.<BR>\n" );
document.write( "Quantity:: c + z = 500 grams<BR>\n" );
document.write( "Copper::: 65c+90z = 75*500<BR>\n" );
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document.write( "65c + 65z = 65*500<BR>\n" );
document.write( "65c + 90z = 75*500<BR>\n" );
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document.write( "Subtract and solve for \"z\"::<BR>\n" );
document.write( "25z = 10*500<BR>\n" );
document.write( "z = (2/5)500 = 200 grams (amt. of 90% alloy needed)<BR>\n" );
document.write( "c = 500-200 = 300 grams (amt. of 65% alloy needed)<BR>\n" );
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document.write( "3. For a local carnival, adult tickets cost $32 and child tickets cost $14. If 193 people attended the carnival, and they paid $4 034 altogether, how many adults and how many children were there? <BR>\n" );
document.write( "a. Write a system of equations that can be used to represent this scenario.<BR>\n" );
document.write( "Quantity:: a + c = 193 people<BR>\n" );
document.write( "Value::: 32a+14c = 4,034<BR>\n" );
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document.write( "Modify::<BR>\n" );
document.write( "14a + 14c = 14*193<BR>\n" );
document.write( "32a + 14c = 4034<BR>\n" );
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document.write( "18a = 1332<BR>\n" );
document.write( "a = 74 (# of adult tickets)<BR>\n" );
document.write( "c = 193-74 = 119 (# of child tickets)\r<BR>\n" );
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document.write( "b. Solve the system of equations.\r<BR>\n" );
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document.write( "c. How many adults and how many children were there?\r<BR>\n" );
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document.write( "d. Does the conclusion agree with the original information?\r<BR>\n" );
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document.write( "4. Tanya has 44 quarters and dimes worth $8.30. <BR>\n" );
document.write( "How many of each type of coin does she have?<BR>\n" );
document.write( "q + d = 44 coins<BR>\n" );
document.write( "25q+10d = 830<BR>\n" );
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document.write( "25q + 25d = 25*44<BR>\n" );
document.write( "25q + 10d = 830<BR>\n" );
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document.write( "Subtract and solve for \"d\"::<BR>\n" );
document.write( "15d = 270<BR>\n" );
document.write( "d = 18 (# of dimes)<BR>\n" );
document.write( "q = 44-18 = 26 (# of dimes)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "Answer: </SPAN>\n" );
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