document.write( "Question 245036: A group of ten 6- and 12- volt batteries are wired in a series shown at the right. The sum of their voltages is 84 volts. How many of each type of battery are used?\r
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document.write( "Could someone please explain how to do this problem? I apprieciate the help! \n" );
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Algebra.Com's Answer #179143 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let s = no. of 6 volt batteries \n" ); document.write( "Let t = no. of 12 volt batteries \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"A group of ten 6- and 12- volt batteries are wired in a series\" \n" ); document.write( "The no. of batteries equation \n" ); document.write( "s + t = 10 \n" ); document.write( "Arrange for substitution \n" ); document.write( "s = (10-t) \n" ); document.write( ": \n" ); document.write( "\" The sum of their voltages is 84 volts.\" \n" ); document.write( "the total volts equation \n" ); document.write( "6s + 12t = 84 \n" ); document.write( ": \n" ); document.write( "Substitute (10-t) for s in the above equation \n" ); document.write( "6(10-t) + 12t = 84 \n" ); document.write( "60 - 6t + 12t = 84 \n" ); document.write( "-6t + 12t = 84 - 60 \n" ); document.write( "6t = 24 \n" ); document.write( "t = \n" ); document.write( "t = 4 ea 12v batteries \n" ); document.write( ": \n" ); document.write( "then \n" ); document.write( "10 - 4 = 6 ea 6v batteries \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution in the total volts equation \n" ); document.write( "6(6) + 4(12) = 84\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |