document.write( "Question 1079717: please help me solve my word problem {nine books are to be bought by a student. Some cost $6 each and the remainder cost $6.50 each.If the total amount spend was $56, how many of each book are bought?}
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Algebra.Com's Answer #693937 by addingup(3677)![]() ![]() You can put this solution on YOUR website! Let the $6 books be x and the books at 6.50 y: \n" ); document.write( "So we have: \n" ); document.write( "x + y = 9 subtract y from both sides: \n" ); document.write( "x = 9 - y \n" ); document.write( ": \n" ); document.write( "6x + 6.50y = 56 substitute for x \n" ); document.write( "6(9 - y) + 6.50y = 56 \n" ); document.write( "54 - 6y + 6.50y = 56 \n" ); document.write( "0.50y = 2 \n" ); document.write( "y = 4 \n" ); document.write( "So the student got 4 books at 6.50 and 9 - 4 = 5 books at 6. \n" ); document.write( ": \n" ); document.write( "Check: \n" ); document.write( "4 × 6.50 + 5 × 6 = 56 \n" ); document.write( "26 + 30 = 56 Correct. \n" ); document.write( " |