document.write( "Question 1172204: Eric wishes to mix together some common stone worth $0.10 per kilogram and some granite chips worth $0.15 per kilogram to produce a decorative garden mixture. How much of each stone should be mixed to obtain 300 kg of a mixture worth $0.13 per kilogram?
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Algebra.Com's Answer #797152 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let x be the amount of the material worth $0.15 per kilogram. (I even do not want to use its long name)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then the amount of the other material is (300-x) kilograms.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now you write the total money equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 0.15x + 0.1*(300-x) = 0.13*300.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Left side is the total cost of ingredients, while the right side is the cost of the final mixture.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From the equation, you get\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is a standard and typical mixture problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this site, there is entire bunch of lessons covering various types of mixture problems\r \n" ); document.write( " \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 dry substances like coffee beans, nuts, cashew and peanuts\r \n" ); document.write( "\n" ); document.write( " - Word problems on mixtures for dry substances like candies, dried fruits\r \n" ); document.write( "\n" ); document.write( " - Word problems on mixtures for dry substances like soil and sand\r \n" ); document.write( "\n" ); document.write( " - Word problems on mixtures for alloys \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " - OVERVIEW of lessons on word problems for mixtures\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A convenient place to quickly observe these lessons from a \"bird flight height\" (a top view) is the last lesson in the list.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Read them and become an expert in solution the mixture word problems.\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Mixture problems\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "/\/\/\/\/\/\/\/\/\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I want to add my thoughts about the @josgarithmetic solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "When a visitor comes to this forum with such problem, it is naturally to assume that this person is a beginner \n" ); document.write( "and does not know how to solve it.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Typically, it is a young student of 6th -7th grade.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Such students practically NEVER worked with symbolic equations; and, typically, they DO NOT UNDERSTAND them, at all.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In middle school, the teachers NEVER teach students solving such problems using symbolic equations.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "THEREFORE, I insistently recommend all visitors to ignore this and similar posts by @josgarithmetic.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |