document.write( "Question 837565: a number increase by 5 and divide. by 2 is equal to 75 \n" ); document.write( "
Algebra.Com's Answer #504682 by josh_jordan(263)![]() ![]() You can put this solution on YOUR website! To find the number, we need to first set the word problem up as an equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"increased by 5\" means + 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"divided by 2\" means /2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"is equal to 75\" means = 75\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We will let x equal our unknown number. So:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x + 5)/2 = 75\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now we can solve for x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We can first multiply both sides of the equation by 2. This will get rid of the fraction on the left side:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 5 = 75 * 2 ----->\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 5 = 150\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Next, subtract 5 from both sides:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 5 - 5 = 150 - 5 ----->\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 145\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, the number is 145 \n" ); document.write( " |