document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200889>Question 1200889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bakery made some buns for charity. 3/5 of them were chicken buns and the rest were tuna buns. 7/8 of the chicken buns and 600 of the tuna buns were eaten. 7/40 of all the buns were left.<BR>\n" );
document.write( "(a) How many buns were made?<BR>\n" );
document.write( "(b) How many tuna buns were left? </SPAN>\n" );
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document.write( "Answers: <BR>\n" );
document.write( "(a) <font color=red>2000</font><BR>\n" );
document.write( "(b) <font color=red>200</font>\r<BR>\n" );
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document.write( "Work Shown:\r<BR>\n" );
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document.write( "3/5 were chicken buns.<BR>\n" );
document.write( "The rest (2/5) were tuna buns.\r<BR>\n" );
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document.write( "c = number of chicken buns<BR>\n" );
document.write( "t = number of tuna buns<BR>\n" );
document.write( "c+t = number of total buns<BR>\n" );
document.write( "(3/5)*(total) = number of chicken buns<BR>\n" );
document.write( "(3/5)*(c+t) = number of chicken buns<BR>\n" );
document.write( "(3/5)*(c+t) = c<BR>\n" );
document.write( "3(c+t) = 5c<BR>\n" );
document.write( "3c+3t = 5c<BR>\n" );
document.write( "3t = 5c-3c<BR>\n" );
document.write( "3t = 2c<BR>\n" );
document.write( "c = 3t/2<BR>\n" );
document.write( "c = 1.5t<BR>\n" );
document.write( "This will be used later in a <font color=blue>substitution step</font>\r<BR>\n" );
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document.write( "7/8 of the chicken buns and 600 of the tuna buns were eaten<BR>\n" );
document.write( "7/40 of all the buns were left. Therefore, 33/40 of the buns were eaten\r<BR>\n" );
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document.write( "(7/8)c = number of chicken buns eaten<BR>\n" );
document.write( "600 = number of tuna buns eaten<BR>\n" );
document.write( "(7/8)c + 600 = number of buns eaten<BR>\n" );
document.write( "(7/8)c + 600 = (33/40)*(total number of buns)<BR>\n" );
document.write( "(7/8)c + 600 = (33/40)*(c+t) <BR>\n" );
document.write( "(7/8)*1.5t + 600 = (33/40)*(1.5t+t) ........... <font color=blue>substitution step</font><BR>\n" );
document.write( "(21/16)t + 600 = (33/16)t<BR>\n" );
document.write( "16*((21/16)t + 600) = 16*(33/16)t<BR>\n" );
document.write( "21t + 9600 = 33t<BR>\n" );
document.write( "9600 = 33t-21t<BR>\n" );
document.write( "9600 = 12t<BR>\n" );
document.write( "t = 9600/12<BR>\n" );
document.write( "t = 800 tuna buns to start with<BR>\n" );
document.write( "600 were eaten, so 800-600 = <font color=red>200 tuna buns remain.</font>\r<BR>\n" );
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document.write( "c = 1.5t<BR>\n" );
document.write( "c = 1.5*800<BR>\n" );
document.write( "c = 1200 chicken buns to start with<BR>\n" );
document.write( "c+t = 1200+800 = <font color=red>2000 total buns to start with</font>\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "3/5 of 2000 = (3/5)*2000 = 1200 chicken buns to start<BR>\n" );
document.write( "2/5 of 2000 = (2/5)*2000 = 800 tuna buns to start<BR>\n" );
document.write( "7/8 of 1200 chicken buns = (7/8)*1200 = 1050 chicken buns eaten. Add on the 600 tuna buns eaten to get 1050+600 = 1650 total eaten.<BR>\n" );
document.write( "2000-1650 = 350 buns remain<BR>\n" );
document.write( "350/2000 = 7/40 of the original buns remain<BR>\n" );
document.write( "This confirms the answers.\r<BR>\n" );
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document.write( "Another way to check:<BR>\n" );
document.write( "<TABLE  border = \"1\" cellpadding = \"5\">\n" );
document.write( "<tr><TD ></TD><TD >Chicken</TD><TD >Tuna</TD><TD >Total</TD></tr><tr><TD >Start</TD><TD >1200</TD><TD >800</TD><TD ><font color=red>2000</font></TD></tr><tr><TD >Eaten</TD><TD >(7/8)*1200 = 1050</TD><TD >600</TD><TD >1050+600 = 1650</TD></tr><tr><TD >End</TD><TD >1200-1050 = 150</TD><TD >800-600 = <font color=red>200</font></TD><TD >150+200 = 350 (or 2000-1650 = 350)</TD></tr>\n" );
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document.write( "The table mentions:<BR>\n" );
document.write( "350 total buns remaining out of 2000 starting buns.<BR>\n" );
document.write( "350/2000 = 7/40 of the original buns remain<BR>\n" );
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