document.write( "Question 508292: Christine went shopping and bought each of her nine nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $140.34 on gifts. How many videos and CDs did she buy? \n" ); document.write( "
Algebra.Com's Answer #340919 by swincher4391(1107)![]() ![]() You can put this solution on YOUR website! We will set up a system of equations.\r \n" ); document.write( "\n" ); document.write( "Let V = number of videos bought \n" ); document.write( "Let C = number of CDs bought\r \n" ); document.write( "\n" ); document.write( "We know that there are nine nephews in total, so since every nephew got either a video or CD, then the number of videos + number of CDs is also 9.\r \n" ); document.write( "\n" ); document.write( "So V + C = 9.\r \n" ); document.write( "\n" ); document.write( "We also know the cost of each video and CD and how much was spent.\r \n" ); document.write( "\n" ); document.write( "So 14.95V + 16.88C = 140.34\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's try substitution method here.\r \n" ); document.write( "\n" ); document.write( "Doesn't matter which variable we solve for, so let's just solve for V.\r \n" ); document.write( "\n" ); document.write( "V = 9 - C\r \n" ); document.write( "\n" ); document.write( "So where you see V in the second equation, sub in \"9-C\"\r \n" ); document.write( "\n" ); document.write( "14.95(9-C) + 16.88C = 140.34\r \n" ); document.write( "\n" ); document.write( "134.55 - 14.95C + 16.88C = 140.34\r \n" ); document.write( "\n" ); document.write( "1.93C = 5.79\r \n" ); document.write( "\n" ); document.write( "C = 3\r \n" ); document.write( "\n" ); document.write( "Sub C = 3 back into either original equation, though I think I know which one you'd find is easier.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "V + 3 = 9\r \n" ); document.write( "\n" ); document.write( "V = 6\r \n" ); document.write( "\n" ); document.write( "So we bought 6 videos and 3 CDs. <---- Answer\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope this helped!\r \n" ); document.write( "\n" ); document.write( "Please e-mail me at onlyyourmathtutor@yahoo.com if this solution did not help, or if you have further questions. \n" ); document.write( " |