document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=106548>Question 106548</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question1\r<BR>\n" );
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document.write( "a)  the length of rectangle is 1 cm less than 3 times the width, if the perimeter is 54 cm, find the dimentions of a rectangle.\r<BR>\n" );
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document.write( "b) 400 tickets were sold for a school play, General admission tickets were $4 while student tickets were $3, if the total tickets sales were $1350, how many of each type of ticket were sold?\r<BR>\n" );
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document.write( "c)   How much pure alcohol must be added to 9 quarts of water to obtain a mixture of 40% alcohol?\r<BR>\n" );
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document.write( "d)  On Friday morning, Ali drove from his house to the beach in 4hrs, in coming back on Sunday afternoon, heavy traffics slowed his speed by 10mi/hrs, and the trip took 5 hrs, what was his average speed in each direction?\r<BR>\n" );
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document.write( "Thank you in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77586 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=77586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) the length of rectangle is 1 cm less than 3 times the width, if the perimeter is 54 cm, find the dimensions of a rectangle.<BR>\n" );
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document.write( "Just write an equation for what it says:<BR>\n" );
document.write( "\"the length of rectangle is 1 cm less than 3 times the width,\"<BR>\n" );
document.write( "L = 3W - 1<BR>\n" );
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document.write( "\"the perimeter is 54 cm,\"<BR>\n" );
document.write( "2L + 2W = 54<BR>\n" );
document.write( "Substitute (3W-1) for L (from the 1st statement)<BR>\n" );
document.write( "2(3W-1) + 2W = 54<BR>\n" );
document.write( "Find W<BR>\n" );
document.write( "6W - 2 + 2W = 54<BR>\n" );
document.write( "8W = 54 + 2<BR>\n" );
document.write( "8W = 56<BR>\n" );
document.write( "W = 56/8<BR>\n" );
document.write( "W = 7<BR>\n" );
document.write( "I'll let you find L using the 1st statement equation<BR>\n" );
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document.write( "b) 400 tickets were sold for a school play, General admission tickets were $4 while student tickets were $3, if the total tickets sales were $1350, how many of each type of ticket were sold?<BR>\n" );
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document.write( "Let x = no. of general admission tickets; let y = no. of student tickets<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
document.write( "\"400 tickets were sold for a school play,\" <BR>\n" );
document.write( "x + y = 400<BR>\n" );
document.write( "y = 400 - x; we can use this for substitution<BR>\n" );
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document.write( "\"General admission tickets were $4 while student tickets were $3, the total tickets sales were $1350,\"<BR>\n" );
document.write( "4x + 3y = $1350<BR>\n" );
document.write( "Substitute (400-x) for y in the above equation, find x:<BR>\n" );
document.write( "4x + 3(400-x) = 1350<BR>\n" );
document.write( "4x + 1200 - 3x = 1350<BR>\n" );
document.write( "4x - 3x = 1350 - 1200<BR>\n" );
document.write( "x = 150 general admission tickets<BR>\n" );
document.write( "Here again I will let you find y from the 1st statement equation<BR>\n" );
document.write( "Check your solution in the $$ equation<BR>\n" );
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document.write( "c) How much pure alcohol must be added to 9 quarts of water to obtain a mixture of 40% alcohol?<BR>\n" );
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document.write( "Let x = amt of alcohol required<BR>\n" );
document.write( "A simple equation will do this:<BR>\n" );
document.write( "x = .40(x+9)<BR>\n" );
document.write( "x = .4x + 3.6<BR>\n" );
document.write( "x - .4x = 3.6<BR>\n" );
document.write( ".6x = 3.6<BR>\n" );
document.write( "x = 3.6/.6<BR>\n" );
document.write( "x = 6 quarts of alcohol required<BR>\n" );
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document.write( "d) On Friday morning, Ali drove from his house to the beach in 4 hrs, in coming back on Sunday afternoon, heavy traffics slowed his speed by 10mi/hrs, and the trip took 5 hrs, what was his average speed in each direction?<BR>\n" );
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document.write( "Let s = his speed to the beach<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s-10) = his speed back<BR>\n" );
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document.write( "The distance there and back are the same, so write a distance equation<BR>\n" );
document.write( "Distance = time * speed<BR>\n" );
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document.write( "return dist = to beach dist<BR>\n" );
document.write( "5(s-10) = 4s<BR>\n" );
document.write( "5s - 50 = 4s<BR>\n" );
document.write( "5s - 4s = +50<BR>\n" );
document.write( "s = 50 mph  to the beach<BR>\n" );
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document.write( "I'll let you provide the speed on the return trip<BR>\n" );
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document.write( "Did this help you get a handle on this stuff?  Hope so.\r<BR>\n" );
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