document.write( "Question 187863This question is from textbook algebra structure and methoed
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document.write( ": solution to work problem\r
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document.write( "ramon cna do the weekly billing in 2 hrs luann needs three hours. if roman works for 30 minute and then is joined by luann, how long will it take them to finish\r
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document.write( "the tens digit of a two digit number is one more than 3 times the unit digit.
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document.write( "subtracting 45 from the number reverses it , find the original number\r
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Algebra.Com's Answer #140898 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Ramon can do the weekly billing in 2 hrs; Luann needs three hours. If Romon \n" ); document.write( " works for 30 minutes, and then is joined by Luann, how long will it take them \n" ); document.write( " to finish? \n" ); document.write( ": \n" ); document.write( "Let t = amt of time required for them to finish \n" ); document.write( ": \n" ); document.write( "Change 30 min to .5 hrs \n" ); document.write( ": \n" ); document.write( "Let the completed job = 1 \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "Multiply equation by 6 to get rid of denominators, results: \n" ); document.write( "3(t+.5) + 2t = 6 \n" ); document.write( ": \n" ); document.write( "3t + 1.5 + 2t = 6 \n" ); document.write( ": \n" ); document.write( "5t = 6 - 1.5 \n" ); document.write( ": \n" ); document.write( "5t = 4.5 \n" ); document.write( "t = \n" ); document.write( "t = .9 hrs which is .9(60) = 54 min to finish the job \n" ); document.write( "; \n" ); document.write( "Check solution: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( ".7 + .3 = 1 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "the tens digit of a two digit number is one more than 3 times the unit digit. \n" ); document.write( ": \n" ); document.write( "Let x = the 10's digit, and let y = units \n" ); document.write( "then \n" ); document.write( "10x + y = the two digit number \n" ); document.write( ": \n" ); document.write( "Write an equation for the statement: \n" ); document.write( "\"the tens digit of a two digit number is one more than 3 times the unit digit.\" \n" ); document.write( "x = 3y + 1 \n" ); document.write( ": \n" ); document.write( "subtracting 45 from the number reverses it , \n" ); document.write( "10x + y - 45 = 10y + x \n" ); document.write( "10x - x = 10y - y + 45 \n" ); document.write( "9x = 9y + 45 \n" ); document.write( "Simplify, divide equation by 9 \n" ); document.write( "x = y + 5 \n" ); document.write( ": \n" ); document.write( " find the original number \n" ); document.write( ": \n" ); document.write( "Substitute (3y+1) for x in the above equation \n" ); document.write( "3y + 1 = y + 5 \n" ); document.write( "3y - y = 5 - 1 \n" ); document.write( "2y = 4 \n" ); document.write( "y = 2 \n" ); document.write( "then \n" ); document.write( "x = 2 + 5 \n" ); document.write( "x = 7 \n" ); document.write( ": \n" ); document.write( "72 is our number \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "Check solution in the statement:\"subtracting 45 from the number reverses it\" \n" ); document.write( "72 - 45 = 27 \n" ); document.write( " |