document.write( "Question 152198: In a race, the first prize will be $5 greater than the second and the second will be $4 greater than the third. The total prize money is $52. Find each prize. \n" ); document.write( "

Algebra.Com's Answer #111862 by orca(409) $\"\"$ $\"About$

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Let x be the prize for the third place, then the prize for the second place is x + 4 and the prize for the second place is x + 4 + 5 = x + 9.
\n" ); document.write( "As the total prize money is $52, we can set up an equation:
\n" ); document.write( "(x) + (x + 4) + (x + 9) = 52
\n" ); document.write( "Solving the equation for x, we have
\n" ); document.write( "3x + 13 = 52
\n" ); document.write( "3x = 39
\n" ); document.write( "x = 13
\n" ); document.write( "So
\n" ); document.write( "The prize for the third place is 13.
\n" ); document.write( "The prize for the second place is 17.
\n" ); document.write( "The prize for the first place is 22.
\n" ); document.write( " \n" ); document.write( "

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