document.write( "Question 1149256: In what ratio must two sorts of suger, costing $390 and $315 per kg respectively, be mixed in order to produce a mixture worth $345 \n" ); document.write( "

Algebra.Com's Answer #770596 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "In what ratio must two sorts of $\"highlight%28cross%28suger%29%29\"$ sugar, costing $390 and $315 per kg respectively,
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document.write( "Let x be the mass of the $390 sugar and y be the mass of $315 sugar.\r\n" );
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document.write( "We want to find the ratio .\r\n" );
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document.write( "Your basic equation is\r\n" );
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document.write( "    390x + 315y = 345*(x+y).     (1)\r\n" );
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document.write( "Why the equation has this form, is absolutely clear, and I will not explain it further.\r\n" );
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document.write( "Since we want to know the ratio  ,  divide equation  (1) by \"y\" (both sides). You will get\r\n" );
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document.write( "     + 315 = .     (2)\r\n" );
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document.write( "For simplicity, denote   as z; then  equation (2) takes the form\r\n" );
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document.write( "    390*z + 315 = 345*z + 345.\r\n" );
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document.write( "Simplify and find z\r\n" );
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document.write( "    390z - 345z = 345 - 315\r\n" );
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document.write( "    45z = 30\r\n" );
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document.write( "      z =  = .\r\n" );
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document.write( "ANSWER.  The ratio    is  .\r\n" );
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document.write( "         In other words,  2 masses of the $390 sugar should be mixed with  3 masses of the  $315 sugar.\r\n" );
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document.write( "CHECK.    = 345 dollars.   ! Precisely correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "-----------------\r
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\n" ); document.write( "\n" ); document.write( "There is a bunch of introductory lessons in this site, covering various types of mixture problems \r
\n" ); document.write( "\n" ); document.write( "    - Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - More Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving typical word problems on mixtures for solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for antifreeze solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for alloys \r
\n" ); document.write( "\n" ); document.write( "    - Typical word problems on mixtures from the archive\r
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\n" ); document.write( "\n" ); document.write( "You will find there ALL TYPICAL mixture problems with different methods of solutions,
\n" ); document.write( "explained at different levels of detalization, from very detailed to very short.\r
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\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solution the mixture word problems.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Mixture problems\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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