document.write( "Question 404036: You have 28 coins that are all nickels and dimes. The value of the coins is $2.05 define variables and write a system of equations for this situation. Explain the steps necessary to solve the system in part (a) solve the system \n" ); document.write( "
Algebra.Com's Answer #285584 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! You have 28 coins that are all nickels and dimes. The value of the coins is $2.05 define variables and write a system of equations for this situation. Explain the steps necessary to solve the system in part (a) solve the system \n" ); document.write( "-------------------- \n" ); document.write( "Equations: \n" ); document.write( "Quantity:: n + d = 28 \n" ); document.write( "Value:::: 5n +10d = 205 cents \n" ); document.write( "------------------------------------ \n" ); document.write( "Multiply thru the 1st equation by 5 to get: \n" ); document.write( "5n + 5d = 5*28 \n" ); document.write( "---- \n" ); document.write( "Subtract that from the Value Equation and solve for \"d\": \n" ); document.write( "5d = 205-5*28 \n" ); document.write( "5d = 35 \n" ); document.write( "d = 7 (# of dimes) \n" ); document.write( "---- \n" ); document.write( "Solve for \"n\": \n" ); document.write( "n + d = 28 \n" ); document.write( "n + 7 = 28 \n" ); document.write( "n = 21 (# of nickels) \n" ); document.write( "========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=========== \n" ); document.write( " |