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)\"\" \"About 
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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( "\"%28N+%2B+D+%2B+J+%2B+F%29%2F4\" = 200
\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( "\"%28%28.5J-24%29+%2B+%28J-10%29+%2B+J+%2B+.5J%29%2F4\" = 200
\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( "\"%28115+%2B+268+%2B+278+%2B+139%29%2F4\" = 200
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