document.write( "Question 831952: Please help me solve this break even equation: You have $22 in your bank account and deposit $1.50 each week. At the same time your cousin has $218 but is withdrawing $13 each week. When will your accounts have the same balance? \n" ); document.write( "
Algebra.Com's Answer #501749 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Let x be the time. \n" ); document.write( "22 + 1.5x = 218 -13x \n" ); document.write( "Add 13 to each side \n" ); document.write( "22 + 14.5x = 218 \n" ); document.write( "Subtract 22 from each side \n" ); document.write( "14.5x = 196 \n" ); document.write( "Divide each side by 14.5 \n" ); document.write( "=13.52 (more accurately, 13.51724) \n" ); document.write( ". \n" ); document.write( "That seems an odd answer. Let's double-check it. \n" ); document.write( "If you start with $22 and add 1.50 each week for 13.52 weeks, you'll have 20.28 + 22, or $42.28 \n" ); document.write( "If your cousin starts with $218 and subtracts 13 for 13.52 weeks, he'll have 218 = 175.76, or $42.24 (the .04 difference is due to rounding). \n" ); document.write( ". \n" ); document.write( "Strange answer, but 13.52 is correct \n" ); document.write( " |