document.write( "Question 1151064: Pre-orders for the year cost $38 each, while full price costs $45 each. If 24 students in Mr. Hillmans homeroom purchased yearbooks for a total of $975, how many students pre-ordered and how many bought their yearbook at full price ? \n" ); document.write( "
Algebra.Com's Answer #772671 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! let x be the number of pre-orders and y be the number of regualar orders \n" ); document.write( ": \n" ); document.write( "(1) x + y = 24 \n" ); document.write( ": \n" ); document.write( "(2) 38x +45y = 975 \n" ); document.write( ": \n" ); document.write( "solve equation 1 for x and substitute for x in equation 2 \n" ); document.write( ": \n" ); document.write( "x = 24 - y \n" ); document.write( ": \n" ); document.write( "38(24 - y) + 45y = 975 \n" ); document.write( ": \n" ); document.write( "912 -38y +45y = 975 \n" ); document.write( ": \n" ); document.write( "7y = 63 \n" ); document.write( ": \n" ); document.write( "y = 9 \n" ); document.write( ": \n" ); document.write( "x = 24 - 9 = 15 \n" ); document.write( ": \n" ); document.write( "***************************************************** \n" ); document.write( "There are 15 pre-orders and 9 regular orders \n" ); document.write( ": \n" ); document.write( "check answer with equation 2 \n" ); document.write( ": \n" ); document.write( "38(15) +45(9) = 975 \n" ); document.write( ": \n" ); document.write( "570 +405 = 975 \n" ); document.write( ": \n" ); document.write( "975 = 975 \n" ); document.write( ": \n" ); document.write( "answer checks \n" ); document.write( "**************************************************** \n" ); document.write( " \n" ); document.write( " |