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off topic - algebra, what am i doing wrong?

I

igzekyativ

Well-Known Member
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?
 
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
 
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