document.write( "Question 1092059: problem 1:
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document.write( "Mrs.Davidson bought some apples and oranges for a total of $4.10.The cost of an orange is 50 cents which is 10 cents more than the cost of an apple.If there were a total 0f 9 fruits,find the number of apples and number of oranges Mrs.Davidson bought. \n" );
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Algebra.Com's Answer #706616 by ikleyn(52864) You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "From the condition, the cost of one orange is 50 cents and the cost of one apple is 50 - 10 = 40 cents.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Let x be the number of apples.\r\n" ); document.write( "\r\n" ); document.write( "40x + 50*(9-x) = 410 cents ====> 40x + 450 - 50x = 410 ====> -10x = 410-450 = -40 ====> x = 4.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Answer. 4 apples and 9-4 = 5 oranges.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 3 (three) ways to solve this problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " 1. Writing the system of 2 equations in two unknowns.\r\n" ); document.write( "\r\n" ); document.write( " 2. Using one equation and one unknown (it is what I did in my post)\r\n" ); document.write( "\r\n" ); document.write( " 3. To solve the problem MENTALLY, without using equations.\r\n" ); document.write( "\r\n" ); document.write( " It is what the tutor @greenestamps did in his post.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "See the lessons \r \n" ); document.write( "\n" ); document.write( " - Problem on two-wheel and three-wheel bicycles, \r \n" ); document.write( "\n" ); document.write( " - Problem on animals at a farm and \r \n" ); document.write( "\n" ); document.write( " - Problem on pills in containers \r \n" ); document.write( "\n" ); document.write( "in this site, where similar problems were solved using all three methods.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |