here is my delima.. suppose that person A makes $13/hr and person B makes $20/hr. Understand that it would take person A ~ 7.6923 hours to make $100; it would take person B 5 hours to make $100. If they wanted to split something that cost $100 and have it so that the amount they paid makes it so they both had to put in the same amount of hours, how would you solve... I came up with the following equation because (person A should pay an amount based on a ratio of what they make vs what person b makes and then add person B's payment to get $100) $60.50(13/20) + $60.50 ~ $100 or 39.33 + 60.50 ~ $100 x(13/20) + x = $100 x + x = $100/(13/20) 2x = $153.84615 x = $76.923 but when i plug the number into the equation, it does not equal $100.. x should equal something near $61.75.. where am i going wrong?

You want a guy that makes $13/hr and a guy that makes $20/hr to work identical hours and their combined wages equal $100?

h = number of hours both people must work 13h + 20h = 100 33h = 100 h = 100/33 = 3.03 , both people work 3 hours person a earns $39 person b earns $60

Algebra and what your doing wrong? Getting involved with it in the first place would be my response. So glad I passed on doing calculus at school. lol