document.write( "Question 513327: Solving equations that have the variable on both sides. I can't figure out the equation.\r
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document.write( "Diana has 7 more five-dollar bills than ten-dollar bills. The value of the five-dollar bills equals the value of the ten-dollar bills. How many five-dollar and ten-dollar bills does she have? \n" );
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Algebra.Com's Answer #342957 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Diana has 7 more five-dollar bills than ten-dollar bills. The value of the five-dollar bills equals the value of the ten-dollar bills. How many five-dollar and ten-dollar bills does she have? \n" ); document.write( "------------- \n" ); document.write( "Quantity Equation: f = t + 7 bills \n" ); document.write( "Value Equation: 5f = 10t dollars \n" ); document.write( "---- \n" ); document.write( "Modify : \n" ); document.write( "f = 2t \n" ); document.write( "---- \n" ); document.write( "Substitute: \n" ); document.write( "2t = t+7 \n" ); document.write( "t = 7 (# of $10 bills) \n" ); document.write( "Solve for \"f\": \n" ); document.write( "f = 2t \n" ); document.write( "f = 2*7 = 14 (# of $5 bills) \n" ); document.write( "================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============ \n" ); document.write( " |