document.write( "Question 1205637: What is the percent decrease from 60 to 24?
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Algebra.Com's Answer #842569 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Answer: 60% decrease\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Explanation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The formula to use is: \n" ); document.write( "percent change = 100*(b-a)/a \n" ); document.write( "where, \n" ); document.write( "a = start value \n" ); document.write( "b = end value\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The b-a up top represents the change from a = 60 to b = 24 \n" ); document.write( "This is a change of -36 since b-a = 24-60 = -36 \n" ); document.write( "The negative result indicates a percent decrease. \n" ); document.write( "Divide this change over the original amount a = 60 to get -36/60 = -0.60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then we multiply by 100 to convert to a percentage. \n" ); document.write( "It is equivalent to moving the decimal point 2 spots to the right. \n" ); document.write( "0.60 becomes 60%\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Here is the calculation in one line \n" ); document.write( "100*(b-a)/a = 100*(24-60)/60 = -60 \n" ); document.write( "Then erase the negative sign and stick on a percent sign at the end. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: \n" ); document.write( "60% of 60 = 0.60*60 = 36 \n" ); document.write( "Decreasing by 60% means we lose 36, so 60-36 = 24 which confirms we have the correct answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Another way to check: \n" ); document.write( "If you get a 60% discount then you pay the remaining 40% \n" ); document.write( "The start price $60 becomes 0.40*60 = 24 dollars \n" ); document.write( " \n" ); document.write( " |