document.write( "Question 1103699: A grocer prepares a mixture of 20 lb. of dried apples and pears to sell for $2.95 per pound. Dried apples cost $2.20 per lb. and dry pears cost $3.20 per lb. How much of each type must the grocer use? \n" ); document.write( "
Algebra.Com's Answer #718392 by ikleyn(52797)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Let \"a\" be the amount of dried apples (in pounds) and \"p\" be the amount of dried pears.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " a + p = 20 (1) (dried appples + dried pears = 20 pounds)\r\n" ); document.write( "2.20*a + 3.20*p = 2.95*20 (2) (cost + cost = cost in dollars)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Multiply eq(1) by 2.20 (both sides). The modified system is\r\n" ); document.write( "\r\n" ); document.write( "2.20*a + 2.20*p = 2.20*20, (1')\r\n" ); document.write( "2.20*a + 3.20*p = 2.95*20. (2')\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now subtract eq(1') from eq(2'). The terms \"2.20*a\" will cancel each other,\r\n" ); document.write( "and you will get a single equation for only ONE unknown \"p\". (It is how the Elimination method works)\r\n" ); document.write( "\r\n" ); document.write( "You will get\r\n" ); document.write( "\r\n" ); document.write( "3.20p - 2.20p = 2.95*20 - 2.20*20 ====>\r\n" ); document.write( "\r\n" ); document.write( "p = 0.75*20 = 15.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Answer. 15 pounds of dried pears and 20-15 = 5 pounds of dried apples.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Check. 2.20*5 + 3.20*15 = 59 dollars.\r\n" ); document.write( "\r\n" ); document.write( " 2.95*20 = 59 dollars. ! Correct !\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------ \n" ); document.write( "There is entire bunch of lessons 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 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( " - Typical word problems on mixtures from the archive\r \n" ); document.write( "\n" ); document.write( " - Advanced mixture problems \r \n" ); document.write( "\n" ); document.write( " - Advanced mixture problem for three alloys \r \n" ); document.write( "\n" ); document.write( " - OVERVIEW of lessons on word problems for mixtures\r \n" ); document.write( "\n" ); document.write( "in this site.\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( " |