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)\"\" \"About 
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Let
\n" ); document.write( "Cost of one orange = r
\n" ); document.write( "Cost of one apple = a\r
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\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
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\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
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\n" ); document.write( "\n" ); document.write( "Cost of one orange = r = 0.26
\n" ); document.write( "Cost of one apple = a = 0.32\r
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\n" ); document.write( "\n" ); document.write( "Check
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\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
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