document.write( "Question 804342: Stuck on this algebra problem, and even my dad is kind of confused. Suppose you have a coin collection of nickels and dimes containing 63 coins. If you have $4 total, how many of each type of coin do you have? \n" ); document.write( "
Algebra.Com's Answer #484708 by erica65404(394)![]() ![]() You can put this solution on YOUR website! x=nickels y=dimes \n" ); document.write( "nickels plus the dimes is equal to 63 coins total. \n" ); document.write( "x+y=63 \n" ); document.write( "nickels are .05 and dimes are .10. The total amount you have is $4.00. \n" ); document.write( ".05x+.10y=4 \n" ); document.write( "to solve for nickels, solve x+y=63 for y \n" ); document.write( "y=63-x \n" ); document.write( "now plug into .05x+.10y=4 \n" ); document.write( ".05x+.10(63-x)=4 \n" ); document.write( ".05x+6.3-.10x=4 \n" ); document.write( "-.05x=-2.3 \n" ); document.write( "x=46 \n" ); document.write( "You now know you 46 of the 63 coins are nickels. \n" ); document.write( "63-46=17 \n" ); document.write( "The answer is 46 nickels and 17 dimes. \n" ); document.write( " \n" ); document.write( " |