document.write( "Question 551078: 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. Can u please help me solve this??! \n" ); document.write( "

Algebra.Com's Answer #359352 by oberobic(2304) $\"\"$ $\"About$

You can put this solution on YOUR website!
x = price of oranges
\n" ); document.write( "y = price of apples
\n" ); document.write( ".
\n" ); document.write( "12x + 7y = $5.36 = 536 cents
\n" ); document.write( "8x + 5y = $3.68 = 368 cents
\n" ); document.write( ".
\n" ); document.write( "Multiply the first equation by 5, the second by 7, and then subtract to eliminate the 'y' factor.
\n" ); document.write( ".
\n" ); document.write( "60x + 35y = 2680
\n" ); document.write( "56x + 35y = 2576
\n" ); document.write( "----------------- subtract
\n" ); document.write( "4x = 104
\n" ); document.write( "x = 26 cents per orange
\n" ); document.write( ".
\n" ); document.write( "Substitute x=26 into the first equation to find 'y'.
\n" ); document.write( ".
\n" ); document.write( "12*26 +7y = 536
\n" ); document.write( "312 +7y = 536
\n" ); document.write( "7y = 536-312 = 224
\n" ); document.write( "y = 32 cents per apple
\n" ); document.write( ".
\n" ); document.write( "Check these values using the other equation.
\n" ); document.write( "8*26 = 208 cents
\n" ); document.write( "5*32 = 160 cents
\n" ); document.write( "208+160 = 368 cents
\n" ); document.write( "Correct.
\n" ); document.write( ".
\n" ); document.write( "Answer: Oranges cost 26 cents each; apples cost 32 cents each.
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

\n" );