document.write( "Question 1096296: Kyle sells cars. He gains 14$/ hour and a commission of 8 percent on sales. How much does he have to sell to gain 1200$ in a 38 hour week?\r
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document.write( "Need help with this word problem please and please send an equation instead of just a solution so I can understand! Thanks! \n" );
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Algebra.Com's Answer #710882 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Kyle works for 38 hours in a single week. He earns $14 and hour. So far he has earned 14*38 = 532 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add on the expression 0.08*x where the 0.08 represents the decimal form of 8% and x is the amount in sales.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So we now have 532+0.08*x which is the same as 0.08*x+532 since we can add in any order.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The expression 0.08*x+532 represents the total amount of money Kyle earns (base hourly pay plus commission bonus). We want the total amount he earns to be $1200. So we set 0.08*x+532 equal to 1200\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The equation is therefore: 0.08*x+532=1200 which is effectively the same as 0.08x+532=1200\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's solve that equation for x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0.08*x+532=1200\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0.08*x+532-532=1200-532 subtract 532 from both sides\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0.08*x = 668\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0.08*x/0.08 = 668/0.08 divide both sides by 0.08\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 8350\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------------------------- \n" ); document.write( "-----------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Final Answer: Kyle must make 8350 dollars in sales to earn $1200 in a 38 hour week. \n" ); document.write( " \n" ); document.write( " |