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 #793981 by ankor@dixie-net.com(22740)\"\" \"About 
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Three friends A, B and C dine out and decide to split the bill according to what they order.
\n" ); document.write( " A’s portion and B’s portion of the bill totaled $35,
\n" ); document.write( "a + b = 35
\n" ); document.write( " while B’s portion of the bill was $5 less than C’s portion of the bill.
\n" ); document.write( "b = c - 5
\n" ); document.write( " The ratio of A’s portion to C’s portion of the bill is 4:5.
\n" ); document.write( "\"a%2Fc\" = \"4%2F5\"
\n" ); document.write( "cross multiply
\n" ); document.write( "5a = 4c
\n" ); document.write( "a = \"4%2F5\"c
\n" ); document.write( "a = .8c
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\n" ); document.write( "In the first equation, replace a with .8c and b with (c-5)
\n" ); document.write( ".8c + (c-5) = 35
\n" ); document.write( "1.8c = 35 + 5
\n" ); document.write( "1.8c = 40
\n" ); document.write( "c = 40/1.8
\n" ); document.write( "c = $22.22
\n" ); document.write( ":\r
\n" ); document.write( "\n" ); document.write( " Determine the total bill amount.
\n" ); document.write( "add to a + b = 35
\n" ); document.write( "35 + 22.22 = $57.22 is the total bill\r
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