document.write( "Question 837607: Kendra has $13.20 in dimes and quarters. If she has 4 times as many quarters as dimes, how many of each coin does she have? \n" ); document.write( "
Algebra.Com's Answer #504677 by josh_jordan(263)![]() ![]() You can put this solution on YOUR website! To solve, we need to set this word problem up as a set of equations. We are told that Kendra has $13.20 in dimes and quarters. We know that a dime is = .10 and a quarter is equal to .25. So, our first equation would look like:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".10d + .25q = 13.20, where d=dimes and q=quarters\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Next, we are told that the number of quarters is 4 times the number of dimes. In other words\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "q = 4d\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, we can substitute 4d for q in equation 1:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".10d + .25(4d) = 13.20 ----->\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".10d + 1d = 13.20 ----->\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1.10d = 13.20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, we can divide both sides of this equation by 1.10:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d = 13.20/1.10 ----->\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d = 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, Kendra has 12 dimes. We know that the number of quarters is 4 times the number of dimes. So, 4 * 12 = 48. Hence, we have 48 quarters. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ANSWER: 12 dimes & 48 quarters \n" ); document.write( " |