document.write( "Question 538541: June earns $3 an hour for the first 40 hours, then $4.50 an hour for overtime. How many hours must she work in order to make at least $165? \n" ); document.write( "
Algebra.Com's Answer #353195 by Mathpassionate(25)![]() ![]() You can put this solution on YOUR website! Let's use:\r \n" ); document.write( "\n" ); document.write( "E = number of extra(overtime)hours worked. \n" ); document.write( "N = Number of normal hours worked \n" ); document.write( "T= Total hours worked to make 165\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The information provided is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Price for THE FIRST 40 hours is 3. \n" ); document.write( "Price for extra hours is 4.5 \n" ); document.write( "At least the total income should be 165 \n" ); document.write( "N=40\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then,\r \n" ); document.write( "\n" ); document.write( "N*3 + 4.5*E = 165 \r \n" ); document.write( "\n" ); document.write( "40*3 + 4.5*E = 165 \r \n" ); document.write( "\n" ); document.write( "4.5*E = 165 - 40*3 \n" ); document.write( "4.5*E = 165 - 120 \n" ); document.write( "4.5*E = 45 \n" ); document.write( "E = 45/4.5 \n" ); document.write( "E = 450/45 \n" ); document.write( "E = 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, the the formula of the total hours worked to make at least 165 is:\r \n" ); document.write( "\n" ); document.write( "T = N + E\r \n" ); document.write( "\n" ); document.write( "T = 40+10 \n" ); document.write( "T = 50\r \n" ); document.write( "\n" ); document.write( "Answer: To make at least 165, June has to work 50 hours.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |