document.write( "Question 2334: You have a money jar containing nickels(.05) and quaters(.25) worth $1.55. The money jar contains 11 coins. How many of each coin do you have? \n" ); document.write( "
Algebra.Com's Answer #975 by matthew_sessoms(39)![]() ![]() ![]() You can put this solution on YOUR website! x=# of nickles \n" ); document.write( "y=# of quarters \n" ); document.write( " \n" ); document.write( "We'll have a system of equations... \n" ); document.write( "x + y = 11 \n" ); document.write( ".05x + .25y = 1.55 \n" ); document.write( " \n" ); document.write( "I'll use substitution. Solve for \"x\" in equation #1. \n" ); document.write( "x = 11 - y \n" ); document.write( "Now, plug this in into the second equation... \n" ); document.write( " \n" ); document.write( ".05(11-y)+.25y=1.55 \n" ); document.write( ".55-.05y+.25y=1.55 \n" ); document.write( ".2y=1.00 \n" ); document.write( "y=5 \n" ); document.write( " \n" ); document.write( "Now, plug y=5 into either of the orginal equations & solve for \"x\". I chosed equation 1 because it looks the easiest. \n" ); document.write( " \n" ); document.write( "x+5=11 \n" ); document.write( "x=6 \n" ); document.write( " \n" ); document.write( "6 nickels ($0.30) \n" ); document.write( "5 quarters ($1.25) \n" ); document.write( "Thanks \n" ); document.write( "MS \n" ); document.write( " |