document.write( "Question 603942: Juana bought 16 used paperback books for $10.95. Some cost $.60 and the rest cost $.75 each. How many of each did she buy? \n" ); document.write( "
Algebra.Com's Answer #380890 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Juana bought 16 used paperback books for $10.95. Some cost $.60 and the rest cost $.75 each. How many of each did she buy? \n" ); document.write( "---- \n" ); document.write( "Equations: \n" ); document.write( "a + b = 16 \n" ); document.write( "0.6a + 0.75b = 10.95 \n" ); document.write( "------ \n" ); document.write( "a + b = 16 \n" ); document.write( "60a + 75b = 1095 \n" ); document.write( "---------- \n" ); document.write( "a = 16-b \n" ); document.write( "12a + 15b = 219 \n" ); document.write( "--- \n" ); document.write( "Substitute for \"a\" and solve for \"b\": \n" ); document.write( "12(16-b) + 15b = 219 \n" ); document.write( "192 - 12b + 15b = 219 \n" ); document.write( "3b = 27 \n" ); document.write( "b = 9 (# of 0.60 books) \n" ); document.write( "---- \n" ); document.write( "a = 16-9 = 7 (# of 0.75 books) \n" ); document.write( "=================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============= \n" ); document.write( " |