document.write( "Question 1169281: Good day I need help with the following question : \r
\n" ); document.write( "\n" ); document.write( " Three friends A, B and C dine out and decide to split the bill according to what they order. A’s portion and B’s portion of the bill totalled $35, while B’s portion of the bill was $5 less than C’s portion of the bill. The ratio of A’s portion to C’s portion of the bill is 4:5. Determine the total bill amount.
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Algebra.Com's Answer #794010 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Use the given ratio A:C = 4:5 to define

\n" ); document.write( "4x = A's portion
\n" ); document.write( "5x = C's portion

\n" ); document.write( "Then, since A's portion plus B's portion is $35,

\n" ); document.write( "35-4x = B's portion

\n" ); document.write( "Also, B's portion is $5 less than C's:

\n" ); document.write( "5x-5 = B's portion

\n" ); document.write( "Set the two expressions for B's share equal to each other:

\n" ); document.write( "\"35-4x+=+5x-5\"
\n" ); document.write( "\"40+=+9x\"
\n" ); document.write( "\"x+=+40%2F9\"

\n" ); document.write( "The total amount of the bill in dollars is
\n" ); document.write( "\"4x%2B5x%2B%2835-4x%29+=+5x%2B35+=+200%2F9%2B35\"

\n" ); document.write( "Since that does not represent a whole number, either in dollars or in cents, I suspect the statement of the problem is incorrect.
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