document.write( "Question 105378: Mr. Berg, who works twice as fast as Mr. Slocum receives s hourly rate of p[ay 1 1/2 times as much as Mr.Slocum. An efficiency expert calculatethat an article produced by Mr.Berg has a labor cost of 12 cents. what is the labor cost in cents of an articleproduced by Mr.Solcum? \n" ); document.write( "
Algebra.Com's Answer #76849 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Mr. Berg, who works twice as fast as Mr. Slocum receives s hourly rate of pay 1 1/2 times as much as Mr.Slocum. An efficiency expert calculates that an article produced by Mr.Berg has a labor cost of 12 cents. what is the labor cost in cents of an article produced by Mr.Slocum? \n" ); document.write( ": \n" ); document.write( "s much so let the cost for him = .5x \n" ); document.write( " To understand what's going on, let's assume some numbers here: \n" ); document.write( "Say that B produces 100 items per hr @.12 per item, his pay should be $12/hr \n" ); document.write( ": \n" ); document.write( "Since B makes 1.5 times S, then S's pay 12/1.5 = $8/hr \n" ); document.write( ": \n" ); document.write( "S only produces 50 of these item \n" ); document.write( ": \n" ); document.write( "At $8/hr the cost of his items: 8/50 = $0.16 is the labor cost for S \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "We should be able to do this by ratio (which is probably what they want) \n" ); document.write( "Pay ratio = items ratio; S:B pay would be 1:1.5 or 2:3, \n" ); document.write( ": \n" ); document.write( "If they both made the same number of items we would have; \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Cross multiply \n" ); document.write( "3*x = 2 * .12 \n" ); document.write( "3x = .24 \n" ); document.write( "x = .24/3 \n" ); document.write( "x = .08 cost per item, however he produced half as many as B did; that would \n" ); document.write( "double the cost, so actually it would be $.16 per item as we found above. \n" ); document.write( ": \n" ); document.write( "Did this help you? \n" ); document.write( " |