document.write( "Question 1204628: Alyssa emptied out her change jar to buy a new binder for school. She found 147
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document.write( "coins consisting of dimes and nickels that totaled $11.65. Write a system of
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document.write( "equations to determine how many dimes, d, and how many nickels, n, Alyssa had in
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document.write( "her change jar? Then solve the system of equations. \n" );
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Algebra.Com's Answer #840996 by mananth(16946)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "Alyssa emptied out her change jar to buy a new binder for school. She found 147 \n" ); document.write( "coins consisting of dimes and nickels that totaled $11.65. Write a system of \n" ); document.write( "equations to determine how many dimes, d, and how many nickels, n, Alyssa had in \n" ); document.write( "her change jar? Then solve the system of equations.\r \n" ); document.write( "\n" ); document.write( "She found 147coins consisting of dimes and nickels \n" ); document.write( "Let the number of dimes be x \n" ); document.write( "and number of nickels be y \n" ); document.write( "x+y=147------------------1\r \n" ); document.write( "\n" ); document.write( " that totaled $11.65.\r \n" ); document.write( "\n" ); document.write( "10x+5y= 1165 (cents)------------2\r \n" ); document.write( "\n" ); document.write( "Multiply (1) by 10 and subtract from (2) \n" ); document.write( "10x+5y= 1165 \n" ); document.write( "10x+10y=1470 \n" ); document.write( "-5y=-305 \n" ); document.write( "y= 61 number of nickels\r \n" ); document.write( "\n" ); document.write( "x =147-61= 86 number of dimes\r \n" ); document.write( "\n" ); document.write( "CHECK\r \n" ); document.write( "\n" ); document.write( "61*5+86*10 =1165 cents =$11.65\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "15y = \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |