document.write( "Question 456897: At the car wash there is a flat fee for the first 8 minutes. Sally was there for 12 mins and cost her $5. John was there for 17 mins and cost him $6.25. Write a equation and find the cost of the flat fee and cost per minute. \n" ); document.write( "
Algebra.Com's Answer #313615 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
At the car wash there is a flat fee for the first 8 minutes.
\n" ); document.write( " Sally was there for 12 mins and cost her $5.
\n" ); document.write( " John was there for 17 mins and cost him $6.25.
\n" ); document.write( " Write a equation and find the cost of the flat fee and cost per minute.
\n" ); document.write( ":
\n" ); document.write( "Let f = flat fee for the 1st 8 min
\n" ); document.write( "Let a = cost for each additional min
\n" ); document.write( ":
\n" ); document.write( "Two equations:
\n" ); document.write( ":
\n" ); document.write( "\"Sally was there for 12 mins and cost her $5.\"
\n" ); document.write( "a(12-8) + f = $5
\n" ); document.write( "4a + f = $5
\n" ); document.write( ":
\n" ); document.write( "\" John was there for 17 mins and cost him $6.25.\"
\n" ); document.write( "a(17-8) + f = $6.25
\n" ); document.write( "9a + f = 6.25
\n" ); document.write( ":
\n" ); document.write( "We can use elimination here, subtract the 1st equation from the 2nd
\n" ); document.write( "9a + f = 6.25
\n" ); document.write( "4a + f = 5.00
\n" ); document.write( "-----------------subtraction eliminates f find a
\n" ); document.write( "5a = 1.25
\n" ); document.write( "a = \"1.25%2F5\"
\n" ); document.write( "a = .25 for each additional min
\n" ); document.write( ":
\n" ); document.write( "Find f using the 1st equation
\n" ); document.write( "4(.25) + f = 5
\n" ); document.write( "1.00 + f = 5
\n" ); document.write( "f = 5 - 1
\n" ); document.write( "f = $4 is the flat fee for the 1st 8 min
\n" ); document.write( ":
\n" ); document.write( "Check our solutions in the 2nd equation
\n" ); document.write( "9(.25) + 4.00 = 6.25\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );