document.write( "Question 790885: nine books are to be bought by a student.Some cost $6 each and the remainder cost $6.50 each. if the total amount spent was $56, how many books at each price are bought? \n" ); document.write( "
Algebra.Com's Answer #479389 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! nine books are to be bought by a student \n" ); document.write( "x + y = 9.....1 \n" ); document.write( "Some cost $6 each and the remainder cost $6.50 each. if the total amount spent was $56, \n" ); document.write( "6x + 6.50y = 56.....2 \n" ); document.write( ".................... \n" ); document.write( "x + y = 9.....1 \n" ); document.write( "6x + 6.50y = 56 ......2 \n" ); document.write( "Multiply (1) by 6.50 \n" ); document.write( "6.50x + 6.50y = 58.50 ...3 \n" ); document.write( "6x + 6.50y = 56.....2 \n" ); document.write( "Subtract (2) from (3) \n" ); document.write( "0.50x = 2.50 \n" ); document.write( " x = 5 \n" ); document.write( "Substitute x = 5 into (1) \n" ); document.write( "x + y = 9 \n" ); document.write( "5 + y = 9 \n" ); document.write( "y = 9 - 5 \n" ); document.write( "y = 4. \n" ); document.write( "5 x $6 books + 4 x $6.50 books \n" ); document.write( "Hope this helps. \n" ); document.write( ":-) \n" ); document.write( " |