document.write( "Question 119880: I've been trying to work this problem, but I'm stumped. I have been trying it with the variable rate equations A=RB and variable rate + fixed rate = total rate. Here is the problem: A 60watt bulb cost 50 cents to buy and 12 cents per day to use (24hrs). Another bulb cost $2.50 to buy and 2 cents per day to use. How many days of use will it take for the cost of the bulbs to be equal and what is the equivalent cost? \n" ); document.write( "
Algebra.Com's Answer #87850 by NinangS(5)![]() ![]() ![]() You can put this solution on YOUR website! Let x represent the number of days. \n" ); document.write( "The cost of the first bulb would be \n" ); document.write( "0.50+0.12x \n" ); document.write( "and the second would be \n" ); document.write( "2.50+0.02 \n" ); document.write( "Since they need to be equal set up would look like this \n" ); document.write( "0.50+0.12x = 2.50+0.02x \n" ); document.write( "now solve for x \n" ); document.write( "0.50+0.12x = 2.50+0.02x \n" ); document.write( "0.12x-0.02x = 2.50-0.50 \n" ); document.write( "0.10x = 2.00 \n" ); document.write( "x = 20 days \n" ); document.write( "Now to find the amount replace x with 20 \n" ); document.write( "0.50+0.12(20) = 2.50+0.02(20) \n" ); document.write( "$2.90 = $2.90 \n" ); document.write( " \n" ); document.write( " |