document.write( "Question 1206283: Hi, not sure how to tackle the working out for this question: I take a tablet every 10 days. If I take my first tablet on Monday and have 25 tablets, on what day will I take the last tablet. The answer my teacher gave is a Wednesday. Should I use modular arithmetic to solve, very stuck. Thank you. \n" ); document.write( "
Algebra.Com's Answer #843608 by Theo(13342)![]() ![]() You can put this solution on YOUR website! i did it this way. \n" ); document.write( "building up from 1 tablet to 2 tablets to 3 tablets. \n" ); document.write( "monday = day 1 of the week. \n" ); document.write( "tuesday = day 2 of the week. \n" ); document.write( "........ \n" ); document.write( "sunday = day 7 of the week.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "one 10 day period = 10 days. \n" ); document.write( "divide that by 7 and you get one 7 day period plus 3 days more. \n" ); document.write( "day 3 = wednesday. \n" ); document.write( "that was confirmed to be good.\r \n" ); document.write( "\n" ); document.write( "two 10 day periods = 20 days. \n" ); document.write( "divide that by 7 and you get two 7 day periods plus 6 days more. \n" ); document.write( "day 6 would be saturday. \n" ); document.write( "that was confirmed to be good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "three 10 day periods = 30 days. \n" ); document.write( "divide that by 7 and you get four 7 day periods plus 2 days more. \n" ); document.write( "day 2 would be tuesday. \n" ); document.write( "that was confirmed to be good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "four 10 day periods = 40 days. \n" ); document.write( "divide that by 7 and you get five 7 day periods plus 5 days more. \n" ); document.write( "day 5 would be friday.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i confirmed with a module calculator that these results are accurate.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "extending this to 25 ten day periods, you should get 250 / 7 = 35 seven day periods with 5 days left over. \n" ); document.write( "day 5 would be friday.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "teacher's answer does not appear to be right. \n" ); document.write( "the solution looks like it's friday.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here'e the modulo calculator i used.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.calculatorsoup.com/calculators/math/modulo-calculator.php\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |