document.write( "Question 598117: A community sponsored a charity square dance where admission was $3 for adults and $1.50 for children. If 168 people attended the dance and the money raised was $432, how many adults and how many children attended the dance?\r
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document.write( "a. What are the two system of equations that you could write to sole this problem?\r
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document.write( "b. What would you use to solve the system? Why?\r
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document.write( "c. How many adults and how many children attended the dance? \n" );
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Algebra.Com's Answer #378454 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A community sponsored a charity square dance where admission was $3 for adults and $1.50 for children. If 168 people attended the dance and the money raised was $432, how many adults and how many children attended the dance? \n" ); document.write( "a. What are the two system of equations that you could write to sole this problem? \n" ); document.write( "b. What would you use to solve the system? Why? \n" ); document.write( "c. How many adults and how many children attended the dance? \n" ); document.write( "-------------------------- \n" ); document.write( "Equations: \n" ); document.write( "Quantity: c + a = 168 \n" ); document.write( "Value: 1.5c +3a = 432 \n" ); document.write( "--------------------------------- \n" ); document.write( "Multiply thru the Quantity Equation by 3 to get: \n" ); document.write( "3c + 3a = 3*168 \n" ); document.write( "1.5c+3a = 432 \n" ); document.write( "---- \n" ); document.write( "Subtract lower from upper to get: \n" ); document.write( "1.5c = 72 \n" ); document.write( "c = 48 (# of childred) \n" ); document.write( "Solve for \"a\": \n" ); document.write( "c + a = 168 \n" ); document.write( "48 + a = 168 \n" ); document.write( "a = 120 (# of adults) \n" ); document.write( "============================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=================== \n" ); document.write( " |