document.write( "Question 561019: Joe has a collection of nickels and dimes that is worth $7.05. If the number of dimes were doubled and the number of nickles were increased by 8, the value of the coins would be $12.35. How many dimes does he have?\r
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document.write( "a) 8 dimes b) 43 dimes c) 24 dimes d) 49 dimes\r
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document.write( "please show work!\r
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document.write( "THANK YOU!!! \n" );
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Algebra.Com's Answer #364128 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Joe has a collection of nickels and dimes that is worth $7.05. If the number of dimes were doubled and the number of nickles were increased by 8, the value of the coins would be $12.35. How many dimes does he have? \n" ); document.write( "--------------- \n" ); document.write( "Equations: \n" ); document.write( "5n + 10d = 705 cents \n" ); document.write( "5(n+8)+10(2d) = 1235 cents \n" ); document.write( "------------------------------- \n" ); document.write( "5n + 10d = 705 \n" ); document.write( "5n + 20d = 1235-40 \n" ); document.write( "------------------------ \n" ); document.write( "Subtract and solve for \"d\": \n" ); document.write( "10d = 490 \n" ); document.write( "d = 49 (# of dimes) \n" ); document.write( "---- \n" ); document.write( "Solve for \"n\": \n" ); document.write( "5n + 10d = 705 \n" ); document.write( "5n + 490 = 705 \n" ); document.write( "5n = 215 \n" ); document.write( "n = 43 (# of nickels) \n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=====================\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "a) 8 dimes b) 43 dimes c) 24 dimes d) 49 dimes \n" ); document.write( " \n" ); document.write( " |