document.write( "Question 551075: The cost of 12 oranges and 7 apples is $5.36. Eight oranges and 5 apples cost $3.68. Find the cost of each orange and each apple. \n" ); document.write( "
Algebra.Com's Answer #359354 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( "Cost of one orange = r \n" ); document.write( "Cost of one apple = a\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "12r+7a=5.36..........(1) \n" ); document.write( "8r+5a=3.68...........(2)\r \n" ); document.write( "\n" ); document.write( "Multiply (1) by 8 and (2) by 12 then subtract(2) from (1) \n" ); document.write( "96r+56a=42.88 \n" ); document.write( "-96r-60a=-44.16 \n" ); document.write( "--------------- \n" ); document.write( "-4a=-1.28 \n" ); document.write( "-4a/-4=-1.28/-4 \n" ); document.write( "a=0.32 \n" ); document.write( "Put the value of a in (2) \n" ); document.write( "8r+5a=3.68...........(2) \n" ); document.write( "8r+5(0.38)=3.68 \n" ); document.write( "8r+1.6=3.68 \n" ); document.write( "8r=3.68-1.6 \n" ); document.write( "8r=2.08 \n" ); document.write( "8r/8=2.08/8 \n" ); document.write( "r=0.26\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Cost of one orange = r = 0.26 \n" ); document.write( "Cost of one apple = a = 0.32\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check \n" ); document.write( "===== \n" ); document.write( "The cost of 12 oranges and 7 apples is $5.36 \n" ); document.write( "12r+7a=5.36..........(1) \n" ); document.write( "12(0.26)+7(0.32)=5.36 \n" ); document.write( "3.12+2.24=5.36 \n" ); document.write( "5.36=5.36 \n" ); document.write( "Eight oranges and 5 apples cost $3.68 \n" ); document.write( "8r+5a=3.68...........(2) \n" ); document.write( "8(0.26)+5(0.32)=3.68 \n" ); document.write( "2.08+1.60=3.68 \n" ); document.write( "3.68=3.68\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |