document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153481>Question 153481</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with some word problems. I have tried for several hours and cant figure out where to begin. \r<BR>\n" );
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document.write( "A citrus fruit company plans to make 13.25 pound gift box of oranges and grapefruit. Each box cost $21. An orange weighs .5 pound and sells for $.75. Each grapefruit weights .75 pounds and sells for $1.25. How many oranges and grapefruit should be in each box?\r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113043 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=113043\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A citrus fruit company plans to make 13.25 pound gift box of oranges and grapefruit. Each box cost $21. An orange weighs .5 pound and sells for $.75. Each grapefruit weights .75 pounds and sells for $1.25. How many oranges and grapefruit should be in each box? <BR>\n" );
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document.write( "Let x = no. of oranges<BR>\n" );
document.write( "Let y - no. of grapefruits<BR>\n" );
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document.write( "Write two equations, we will use substitution here:<BR>\n" );
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document.write( "The cost equation:<BR>\n" );
document.write( ".75x + 1.25y = 21<BR>\n" );
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document.write( "The weight equation:<BR>\n" );
document.write( ".5x + .75y = 13.25<BR>\n" );
document.write( ".5x = 13.25 - .75y<BR>\n" );
document.write( "Divide the equation by .5:<BR>\n" );
document.write( "x = (26.5 - 1.5y); Substitute this for x in the cost equation. find y:<BR>\n" );
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document.write( ".75(26.5-1.5y) + 1.25y = 21<BR>\n" );
document.write( "19.875 - 1.125y + 1.25y = 21<BR>\n" );
document.write( ".125y = 21 - 19.875<BR>\n" );
document.write( ".125y = 1.125<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.125%2F.125 ALIGN=MIDDLE  ALT=\"1.125%2F.125\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 9 grapefruits<BR>\n" );
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document.write( "Find x using equation .75x + 1.25y = 21<BR>\n" );
document.write( ".75x + 1.25(9) = 21<BR>\n" );
document.write( ".75x + 11.25 = 21<BR>\n" );
document.write( ".75x = 21 - 11.25<BR>\n" );
document.write( ".75x = 9.75<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9.75%2F.75 ALIGN=MIDDLE  ALT=\"9.75%2F.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 13 oranges<BR>\n" );
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document.write( "Check solutions in weight equation<BR>\n" );
document.write( ".5x + .75y = 13.25<BR>\n" );
document.write( ".5(13) + .75(9) = <BR>\n" );
document.write( "6.5 + 6.75 = 13.25; confirms our solutions<BR>\n" );
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document.write( "Did this take some of the mystery out of this? Any questions? </SPAN>\n" );
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