SOLUTION: I need assistance with this question. Can you please help me set up the equation? If Iwan gives Ben 3/5 of his money, Ben will have 3 times as much money as Iwan would have then

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: I need assistance with this question. Can you please help me set up the equation? If Iwan gives Ben 3/5 of his money, Ben will have 3 times as much money as Iwan would have then      Log On


   

Question 1161547: I need assistance with this question. Can you please help me set up the equation?
If Iwan gives Ben 3/5 of his money, Ben will have 3 times as much money as Iwan would have then. If instead Ben gives Iwan ΒΌ of his money, Iwan will have $ 70 more than what Ben would have then. How much money do the two boys have altogether?
Thanks in advance.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let I be the amount of Iwan;  B be the amount of Ben.



(1)  If Iwan gives Ben 3/5 of his money, then Iwan has 2/5 of his money; Ben has B + %283%2F5%29%2AI.

     So, your first equation is

         3%2A%282%2F5%29%2AI = B + %283%2F5%29%2AI.      (1)



(2)  Your second equation is


         I + %281%2F4%29%2AB = %283%2F4%29%2AB + 70.     (2)


These are your setup equations.

The next step is to multiply equation  (1)  by  5  (both sides)  and to multiply equation  (2)  by  4  (both sides).

In this way,  you rid of denominators.


Since you do not ask to solve equations,  I will stop at this point.