document.write( "Question 178493: The cost of 12 oranges and 7 apples is $5.36. 8 oranges and 5 apples cost $3.68. what is the cost of each orange? \n" ); document.write( "
Algebra.Com's Answer #133449 by stanbon(75887) ![]() You can put this solution on YOUR website! The cost of 12 oranges and 7 apples is $5.36. 8 oranges and 5 apples cost $3.68. what is the cost of each orange? \n" ); document.write( "------------------ \n" ); document.write( "Value Equation: 12R + 7A = 536 cents \n" ); document.write( "Value Equation: 8R + 5A = 368 cents \n" ); document.write( "------------------------------------ \n" ); document.write( "Multiply thru the 1st equation by 2; Multiply thru the 2nd equation by 3: \n" ); document.write( "24R + 14A = 1072 \n" ); document.write( "24R + 15A = 1104 \n" ); document.write( "----------------------- \n" ); document.write( "Subtract 1st from 2nd to get: \n" ); document.write( "A = 32 (price of an apple) \n" ); document.write( "---------- \n" ); document.write( "Substitute to solve for \"R\": \n" ); document.write( "8R + 5*32 = 368 \n" ); document.write( "8R + 160 = 368 \n" ); document.write( "8R = 208 \n" ); document.write( "R = 26 (price of an orange) \n" ); document.write( "================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |