document.write( "Question 502317: Entry fees for a race are $18 if registered before Oct.1 and $22 after. if a total of 1345 registered for the race and the entry fees totaled $25,766, how many people registered after Oct. 1? \n" ); document.write( "
Algebra.Com's Answer #338810 by Maths68(1474)\"\" \"About 
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Let
\n" ); document.write( "Number of persons registered before 1 October = x
\n" ); document.write( "Number of persons registered after 1 October = y
\n" ); document.write( "Registration fee for before 1 October = 18
\n" ); document.write( "Registration fee for After 1 October = 22
\n" ); document.write( "Total registration fee before 1 October = x * 18=18x
\n" ); document.write( "Total registration fee after 1 October = y * 22=22y\r
\n" ); document.write( "\n" ); document.write( "Given
\n" ); document.write( "Sum of registered persons after and before the 1 October = Total registered persons
\n" ); document.write( "x+y=1345
\n" ); document.write( "x=1345-y .................(1)
\n" ); document.write( "Total registration fee before 1 October + Total registration fee after 1 October = Total registration fee
\n" ); document.write( "18x+22y=25766.............(2)
\n" ); document.write( "Put the value of x from (1) to (2)
\n" ); document.write( "18x+22y=25766
\n" ); document.write( "18(1345-y)+22y=25766
\n" ); document.write( "24210-18y+22y=25766
\n" ); document.write( "24210+4y=25766
\n" ); document.write( "4y=25766-24210
\n" ); document.write( "4y=1556
\n" ); document.write( "Divide by 4 both sides of the above equation
\n" ); document.write( "4y/4=1556/4
\n" ); document.write( "y=389
\n" ); document.write( "Number of persons register after 1 October = 389
\n" ); document.write( "Number of persons register before 1 October = 1345-389 = 956\r
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