document.write( "Question 1089567: Hey please help me with this question: An orange cost 8 cents more than an apple. If I buy 7 apples and 8 oranges the total cost is $4.24. Find the cost of one Apple. \n" ); document.write( "
Algebra.Com's Answer #703909 by math_helper(2461)![]() ![]() You can put this solution on YOUR website! Let a = cost of apple, in cents \n" ); document.write( "Let r = cost of orange, in cents\r \n" ); document.write( "\n" ); document.write( "r = a + 8 (1) \n" ); document.write( "7a + 8r = 424 (2)\r \n" ); document.write( "\n" ); document.write( "Substitute \"a+8\" from (1) into (2):\r \n" ); document.write( "\n" ); document.write( "7a + 8(a+8) = 424 \n" ); document.write( "15a + 64 = 424 \n" ); document.write( "15a = 360 \n" ); document.write( "a=24 —> r=24+8 = 32\r \n" ); document.write( "\n" ); document.write( "— \n" ); document.write( "Ans: Apples cost 24 cents each (and Oranges cost 32 cents each.) \n" ); document.write( "— \n" ); document.write( "Check: \n" ); document.write( " 32 = 24+8 (ok) \n" ); document.write( " 7(24) + 8(32) = 168 + 256 = 424 = $4.24 (ok)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |