document.write( "Question 385312: A book cost $15 if bought online and $22.50 if bought at the store. The bookstore sold 250 books and took in $4995. How many books were bought online and how many were bought in the store? \n" ); document.write( "
Algebra.Com's Answer #272624 by texttutoring(324)![]() ![]() You can put this solution on YOUR website! You have two variables, so you need to make two equations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let x = number of books bought online \n" ); document.write( "Let y = number of books bought in store\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There were 250 books sold in total:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+y = 250\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Their sales totaled $4995:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "15x + 22.50y = 4995\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use elimination or substitution with the two equations to solve for x and y. I will use elimination, by multiplying the first equation by 15, then subtracting.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "15x + 22.50y = 4995 \n" ); document.write( "15x + 15y = 3750 \n" ); document.write( "----------------- \n" ); document.write( "0 + 7.50y = 1245\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 1245/7.50 \n" ); document.write( "y= 166\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now find x:\r \n" ); document.write( "\n" ); document.write( "x+y=250 \n" ); document.write( "x+166=250 \n" ); document.write( "x=250-166 \n" ); document.write( "x=84\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So there were 84 books sold online, and 166 sold in the store. Hope this helps! Let me know if you need any more help. \n" ); document.write( " \n" ); document.write( " |