document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=69180>Question 69180</A>: <I><SPAN STYLE=\"word-break: break-all;\"> your faimly likes to go to baseball games. at one game your faimly bought 5 soft drinks and 5 hot dogs for $22.25. at the next game your faimly attended the bought 4 soft drinks and 3 hot dogs for $14.50. what is the cost of one soft drink and one hot dog?\r<BR>\n" );
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document.write( "let s = the cost of one soft drink<BR>\n" );
document.write( "let h = the cost of one hot dog\r<BR>\n" );
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document.write( "a. write a system of equations modeling the situation described above.<BR>\n" );
document.write( "b. solve the system for the cost of one soft drnik + one hot dog. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49292 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=49292\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your family bought 5 soft drinks and 5 hot dogs for $22.25. At the next game your family attended, they bought 4 soft drinks, and 3 hot dogs for $14.50. What is the cost of one soft drink and one hot dog?<BR>\n" );
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document.write( "let s = the cost of one soft drink<BR>\n" );
document.write( "let h = the cost of one hot dog<BR>\n" );
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document.write( "a. write a system of equations modeling the situation described above.<BR>\n" );
document.write( " 5s + 5h = 22.25<BR>\n" );
document.write( " 4s + 3h = 14.50<BR>\n" );
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document.write( "b. solve the system for the cost of one soft drink + one hot dog.<BR>\n" );
document.write( "Multiply the 1st equation by 3 and the 2nd equation by 5, resulting in:<BR>\n" );
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document.write( "15s + 15h = 66.75<BR>\n" );
document.write( "20s + 15h = 72.50<BR>\n" );
document.write( "--------------------subtracting eliminates h:<BR>\n" );
document.write( "-5s + 0h = -5.75<BR>\n" );
document.write( "-5s = -5.75<BR>\n" );
document.write( "s = -5.75/5<BR>\n" );
document.write( "s = $1.15 ea for soft drinks<BR>\n" );
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document.write( "Find h using the 1st equation, substitute 1.15 for s<BR>\n" );
document.write( "5s + 5h = 22.25<BR>\n" );
document.write( "5(1.15) + 5h = 22.25<BR>\n" );
document.write( "5.75 + 5h = 22.25<BR>\n" );
document.write( "5h = 22.25 - 5.75<BR>\n" );
document.write( "5h = 16.5<BR>\n" );
document.write( "h = 16.5/5<BR>\n" );
document.write( "h = $3.30 ea for hot-dogs<BR>\n" );
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document.write( "Check solution in 2nd equation:<BR>\n" );
document.write( "4(1.15) + 3(3.30) =<BR>\n" );
document.write( "4.60 + 9.90 = 14.50<BR>\n" );
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document.write( "They want the cost of 1 hot-dog and 1 drink, I'll let you figure that out<BR>\n" );
document.write( "Does this make sense to you? Any questions? </SPAN>\n" );
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