document.write( "Question 204760: Two full juice boxes weigh as much as 18 grapes and one half-full juice box. An empty juice box weighs as much as 6 grapes. A full juice box then weighs as much as how many grapes? How much does the contents of one juice box, without the box, weigh in grapes?\r
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Algebra.Com's Answer #154548 by alicealc(293)![]() ![]() ![]() You can put this solution on YOUR website! weight of juice content DISABLED_event_only= J \n" ); document.write( "weight of an empty juice box = E \n" ); document.write( "weight of a grape = G\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1st equation: \n" ); document.write( "2J + 2E = 18G + 1/2 J + E \n" ); document.write( "2J - 1/2 J - 18G + 2E - E = 0 \n" ); document.write( "4/2 J - 1/2 J - 18G + E = 0 \n" ); document.write( "3/2 J - 18G + E = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2nd equation: \n" ); document.write( "E = 6G\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute E = 6G into the 1st equation: \n" ); document.write( "3/2 J - 18G + E = 0 \n" ); document.write( "3/2 J - 18G + 6G = 0 \n" ); document.write( "3/2 J - 12G = 0 \n" ); document.write( "3/2 J = 12G \n" ); document.write( "J = 12G * 2/3 = 24/3 G = 8G\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so, a full juice box equals with J + E = 8G + 6G = 14G = 14 grapes \n" ); document.write( "the juice content only (without the box) equals with J = 8G = 8 grapes\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |