document.write( "Question 1199174: A carpenter makes and sells rocking chairs. the material for each chair costs $22.50. the chairs sell for $75 each. if the carpenter spends $420 on advertising, how many chairs must she sell to break even?\r
\n" );
document.write( "\n" );
document.write( "I really need steps on how to do this \n" );
document.write( "
Algebra.Com's Answer #832891 by Theo(13342)![]() ![]() You can put this solution on YOUR website! material = 22.50 per chair. \n" ); document.write( "advertising = 420. \n" ); document.write( "let x = the number of chairs. \n" ); document.write( "revenue = 75 * x \n" ); document.write( "cost = 420 + 22.50 per chair. \n" ); document.write( "break even is when the cost is equal to the revenue. \n" ); document.write( "your equation is: \n" ); document.write( "75 * x = 420 + 22.50 * x \n" ); document.write( "subtract 22.50 * x from both sides of the equation to get: \n" ); document.write( "75 * x - 22.50 * x = 420 \n" ); document.write( "combine like terms to get: \n" ); document.write( "52.50 * x = 420 \n" ); document.write( "divide both sides of the equation by x to get: \n" ); document.write( "420 / 52.50 = x \n" ); document.write( "solve for x to get: \n" ); document.write( "x = 8 \n" ); document.write( "carpenter needs to esll 8 chairs to break evn. \n" ); document.write( "revenue = 75 * 8 = 600 \n" ); document.write( "cost = 420 + 22.50 * 8 = 600 \n" ); document.write( "the break even point is when the revenue = 600 and the cost = 600. \n" ); document.write( "that occurs when the number of chairs sold is 8. \n" ); document.write( " \n" ); document.write( " |