document.write( "Question 1036579: The total cost of 4 apples and 5 oranges is $44. When 1 apple and 2 oranges are removed from the lot,the cost is reduced by $14. Find the cost of 1 apple. \n" ); document.write( "

Algebra.Com's Answer #651283 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "The total cost of 4 apples and 5 oranges is $44.
\n" ); document.write( "4x + 5y = 44......(1)
\n" ); document.write( "hen 1 apple and 2 oranges are removed from the lot,
\n" ); document.write( "the cost is reduced by $14.
\n" ); document.write( "3x + 3y = 30......(2)
\n" ); document.write( "................
\n" ); document.write( "4x + 5y = 44......(1)
\n" ); document.write( "3x + 3y = 30......(2)
\n" ); document.write( "Multiply Eq(1) by 3
\n" ); document.write( "Multiply Eq(2) by 4
\n" ); document.write( "12x + 15y = 132....(1)
\n" ); document.write( "12x + 12y = 120....(2)
\n" ); document.write( "Subtract Eq(2) from Eq(1)
\n" ); document.write( ".....3y = 12
\n" ); document.write( "......y = 4
\n" ); document.write( "Substitute y = 4 into Eq(1)
\n" ); document.write( "4x + 5y = 44......(1)
\n" ); document.write( "4x +5(4) = 44
\n" ); document.write( "4x + 20 = 44
\n" ); document.write( "4x = 44 - 20
\n" ); document.write( "4x = 24
\n" ); document.write( "x = 6
\n" ); document.write( "Apple costs $6
\n" ); document.write( "Orange costs $4
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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