document.write( "Question 179958: 28 students is 70% of how many students. Do I multiply 70 x .28.\r
\n" ); document.write( "\n" ); document.write( "Please help
\n" ); document.write( "

Algebra.Com's Answer #134849 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In a word, no.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "What you suggest would be finding, in effect, the value representing 70% of 28. (even though you converted the wrong number to a decimal) Not the same question at all. Besides, the result of multiplying 28 by .7 is 19.6, and where would one find .6 of a student, some students' poor study habits notwithstanding? Still another sanity check is that if 28 is 70% of something, then that something has to be larger than 28.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The question says: 28 is 70% of what? That means that you are looking for a value that when multiplied by 70% or 0.70 results in 28. A good placeholder for an \"I don't know what\" is x. So we need to translate the english sentence \"70% of a value I don't know is 28\" into algebraic symbols.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "'70%' means 0.70\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "'of' means multiply\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "'a value I don't know' means x\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "'is' means =\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "and 28 means 28\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Therefore:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now, in order to get x by itself on the left so that we know its value, we need to divide by 0.70\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "John
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );