document.write( "Question 182066: A motel clerk counts his $1 and $10 bills at the end of a day. He finds that he has a total of 51 bills having a combined monetary value of $213. Find the number of bills of each denomination that he has.\r
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document.write( "The clerk has ____ ones and ____ tens.\r
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Algebra.Com's Answer #136652 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let the number of $1 bills = x, so then number of $10 bills is 51-x. \n" ); document.write( "From the problem description, you can write: \n" ); document.write( "x($1)+(51-x)($10) = $213 Simplify and solve for x. \n" ); document.write( "x+510-10x = 213 \n" ); document.write( "-9x+510 = 213 Add 510 to both sides. \n" ); document.write( "-9x = -297 Divide both sides by -9 \n" ); document.write( "x = 33 and 51-x = 51-33 = 18. \n" ); document.write( "The motel clerk has 33 $1 bills and 18 $10 bills. \n" ); document.write( " |