document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=364430>Question 364430</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sorry I have 2 very confusing questions.\r<BR>\n" );
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document.write( "question 1-\r<BR>\n" );
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document.write( "A weed spray is made of wetting agent and herbicide in the ratio 97:3 respectively. To make 20L of weed spray how much herbicide would be needed?\r<BR>\n" );
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document.write( "question 2-\r<BR>\n" );
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document.write( "The ratio of bread rolls to sandwhiches sold is 3:2 and the ratio of sandwhiches to pies sold is 4:1<BR>\n" );
document.write( "a) if 15 pies are sold, how many sandwhiches where sold?<BR>\n" );
document.write( "b) Using your answer to question (a) find how many bread rolls where sold.\r<BR>\n" );
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document.write( "Thank you so much to anyone who can answer these </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #259871 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=259871\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First Problem:\r<BR>\n" );
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document.write( "ratio of wetting agent to herbicide is 97:3.\r<BR>\n" );
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document.write( "This means we have 97 liters of wetting agent for every 3 liters of herbicide.\r<BR>\n" );
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document.write( "Since 97 + 3 = 100, this means that our mixture will be 97% wetting agent and 3% herbicide.\r<BR>\n" );
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document.write( "We want 20 liters total.\r<BR>\n" );
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document.write( "97% of 20 = 19.4 liters.<BR>\n" );
document.write( "3% of 20 = .6 liters.\r<BR>\n" );
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document.write( "That's the mix that we require./\r<BR>\n" );
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document.write( "If we are correct, then 97/3 should be the same as 19.4/.6\r<BR>\n" );
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document.write( "Our comparison equation is 97/3 = 19.4/.6.\r<BR>\n" );
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document.write( "Cross multiply to get 97*.6 = 3 * 19.4\r<BR>\n" );
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document.write( "Simplify to get:\r<BR>\n" );
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document.write( "58.2 = 58.2\r<BR>\n" );
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document.write( "The ratio are the same so we're good.\r<BR>\n" );
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document.write( "Another way of looking at is:\r<BR>\n" );
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document.write( "ratio of wetting agent to herbicide is 97/3.\r<BR>\n" );
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document.write( "If we let w = wetting agent, and h = herbicide, this means that:\r<BR>\n" );
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document.write( "w/h = 97/3\r<BR>\n" );
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document.write( "multiply both sides of this equation by h to get:\r<BR>\n" );
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document.write( "w = 97/3 * h.\r<BR>\n" );
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document.write( "we know that the weed spray is composed of w + h.\r<BR>\n" );
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document.write( "if we let s = weed spray, then the equation becomes s = w + h.\r<BR>\n" );
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document.write( "since we know that w = 97/3 * h, then the equation becomes s = 97/3*h + h.\r<BR>\n" );
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document.write( "we know that s = 20 liters, so our equation becomes 20 = 97/3*h + h\r<BR>\n" );
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document.write( "multiply both sides of this equation by 3 to get 60 = 97*h + 3h which then simplifies further to 60 = 100*h.\r<BR>\n" );
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document.write( "divide both sides of this equaqtion by 100 to get h = .6\r<BR>\n" );
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document.write( "if h = .6, then w must equal 19.4 because w + h = 20.\r<BR>\n" );
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document.write( "Same answer so we're good.\r<BR>\n" );
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document.write( "answer is that you will need 19.4 liters of wetting agent and .6 liters of herbicide.\r<BR>\n" );
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document.write( "Second Problem:\r<BR>\n" );
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document.write( "The ratio of bread rolls to sandwiches sold is 3:2 and the ratio of sandwiches to pies sold is 4:1\r<BR>\n" );
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document.write( "a) if 15 pies are sold, how many sandwiches where sold?\r<BR>\n" );
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document.write( "b) Using your answer to question (a) find how many bread rolls where sold. \r<BR>\n" );
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document.write( "Since the ratio of sandwiches to pies sold is 4:1, then if we sold 15 pies, we must have sold (4/1) * 15 = 60 sandwiches.\r<BR>\n" );
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document.write( "This is because for every 1 pie that we sell, we sell 4 sandwiches.  \r<BR>\n" );
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document.write( "That's 4 times as many.\r<BR>\n" );
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document.write( "4 times 15 = 60.\r<BR>\n" );
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document.write( "Since the ratio of bread rolls to sandwiches sold is 3:2, then if we sold 60 sandwiches, we must have sold (3/2) * 60 = 90 bread rolls.\r<BR>\n" );
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document.write( "That's because for every 2 sandwiches that we sell, we sell 3 bread rolls.\r<BR>\n" );
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document.write( "Since we sold 60 sandwiches, we divide that by 2 to get 30 pairs of sandwiches and then we multiply that by 3 to get 90 bread rolls.\r<BR>\n" );
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document.write( "Bottom Line is:\r<BR>\n" );
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document.write( "We sold 90 bread rolls.<BR>\n" );
document.write( "We sold 60 sandwiches.<BR>\n" );
document.write( "We sold 15 pies.\r<BR>\n" );
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document.write( "ratio of bread rolls to sandwiches is 90/60 = 3/2.<BR>\n" );
document.write( "ratio of sandwiches to pies is 60/15 = 4/1.\r<BR>\n" );
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document.write( "Extra:\r<BR>\n" );
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document.write( "The ratio of bread rolls to pies is (3/2) * (4/1) = (12/2) = 6/1.\r<BR>\n" );
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document.write( "90/15 = 6 which is the same as 6/1.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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