document.write( "Question 1026191: One eighth of Emilia's coins are quarters and the rest are nickels. If the total value of her coins is $3.60, how many of each type of coin does she have? \n" ); document.write( "
Algebra.Com's Answer #642634 by fractalier(6550) You can put this solution on YOUR website! Call the numbers of quarters and nickels, q and n. \n" ); document.write( "Since one eighth of Emilia's coins are quarters and the rest are nickels, we have n = 7q, or 7q - n = 0. \n" ); document.write( "Our value equation is \n" ); document.write( "25q + 5n = 360 (we work in cents) \n" ); document.write( "Now multiply the top equation by five and add and get \n" ); document.write( "25q + 5n = 360 \n" ); document.write( "+(35q - 5n = 0) \n" ); document.write( "---------------- \n" ); document.write( "60q = 360 \n" ); document.write( "q = 6 quarters and then \n" ); document.write( "n = 42 nickels \n" ); document.write( " |