document.write( "Question 104086: My average electricity bill for the months of November, December, January, and February was $200. The highest month was January which was twice February. December was $10 less than January and November was $24 less than February. How much was my bill in each of the months November, December, January, and February? \n" ); document.write( "
Algebra.Com's Answer #75882 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! My average electricity bill for the months of November, December, January, and February was $200. The highest month was January which was twice February. December was $10 less than January and November was $24 less than February. How much was my bill in each of the months November, December, January, and February? \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Write equations for each statement: \n" ); document.write( ": \n" ); document.write( "\"January which was twice February.\" \n" ); document.write( "J = 2F \n" ); document.write( "or \n" ); document.write( "F = .5J \n" ); document.write( ": \n" ); document.write( "\"December was $10 less than January\" \n" ); document.write( "D = J - 10 \n" ); document.write( ": \n" ); document.write( "\"November was $24 less than February.\" \n" ); document.write( "N = F - 24 \n" ); document.write( "We want to get everything in terms of J, substitute .5J for F: \n" ); document.write( "N = .5J - 24 \n" ); document.write( ": \n" ); document.write( "Substitute and you have; \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Mult by 4 to get rid of the denominators, remove the brackets: \n" ); document.write( ".5J - 24 + J - 10 + J + .5J = 800 \n" ); document.write( ": \n" ); document.write( ".5J + J + J + .5J - 24 - 10 = 800; group like terms and do the math \n" ); document.write( "3J - 34 = 800 \n" ); document.write( "3J = 800 + 34 \n" ); document.write( "J = 834/3 \n" ); document.write( "J = $278 \n" ); document.write( "Then \n" ); document.write( "F = 278/2 = $139 \n" ); document.write( "and \n" ); document.write( "N = 139 - 24 = $115 \n" ); document.write( "and \n" ); document.write( "D = 278 - 10 = $268 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check on a calc: \n" ); document.write( " |