document.write( "Question 883587: Nina saved $78.00 in March. That was 20% more than she saved in Feb. How much did Nina save in Feb?\r
\n" );
document.write( "\n" );
document.write( "How to solve this?\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #533619 by montecristo73(8)![]() ![]() ![]() You can put this solution on YOUR website! The problem says that 78 is 20% more than what Nina saved in Feb. \r \n" ); document.write( "\n" ); document.write( "Since we do not know what is the quantity she saved in Feb let's call that x.\r \n" ); document.write( "\n" ); document.write( "So, turning this into an equation we have...\r \n" ); document.write( "\n" ); document.write( "78 = x + x(.20)\r \n" ); document.write( "\n" ); document.write( "Why x + x(.20)? Because the problem is basically telling us that the sum of what she saved in Feb (x) and 20% of x will result in 78. To find 20% of x we multiply x(.20)\r \n" ); document.write( "\n" ); document.write( "Now...\r \n" ); document.write( "\n" ); document.write( "78 = x + .20x\r \n" ); document.write( "\n" ); document.write( "Let's multiply both sides by 100 to get rid of that nasty decimal.\r \n" ); document.write( "\n" ); document.write( "7800 = 100x + 20x\r \n" ); document.write( "\n" ); document.write( "7800 = 120x\r \n" ); document.write( "\n" ); document.write( "Now it's just a matter of isolating x. We divide each side by 120 which gives us...\r \n" ); document.write( "\n" ); document.write( "x = 7800/120 \r \n" ); document.write( "\n" ); document.write( "x = 65\r \n" ); document.write( "\n" ); document.write( "Verify now...\r \n" ); document.write( "\n" ); document.write( "65 (what she saved in Feb) plus 20% percent of that should give you 78.\r \n" ); document.write( "\n" ); document.write( "65 + 65(.20)\r \n" ); document.write( "\n" ); document.write( "= 65 + 13 \r \n" ); document.write( "\n" ); document.write( "=78\r \n" ); document.write( "\n" ); document.write( "Voila! \n" ); document.write( " |