SOLUTION: Hi if bob gave dave 8 dollars, both of them will have the same amount of money. If jane adds 14 dollars to bobs original amount, the ratio of bobs money to daves original sum of m

Question 1121464: Hi
if bob gave dave 8 dollars, both of them will have the same amount of money. If jane adds 14 dollars to bobs original amount, the ratio of bobs money to daves original sum of money will be 5:2, how much money did bob have at first.
thanks
Found 3 solutions by josmiceli, MathTherapy, greenestamps:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = original amount Bob had
Let = original amount Dave had
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Bob had 36 dollars at first
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You can check (1)

Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

Hi
if bob gave dave 8 dollars, both of them will have the same amount of money. If jane adds 14 dollars to bobs original amount, the ratio of bobs money to daves original sum of money will be 5:2, how much money did bob have at first.
thanks

Let B and D, be the original amounts Bob and Dave had, respectively
We then get: B � 8 = D + 8______D = B - 16 ------ eq (i)
Also, ____2(B + 14) = 5D___2B + 28 = 5D ------- eq (ii)
2B + 28 = 5(B - 16) � 2B = 28 ------ Substituting B - 16 for D in eq (ii)
2B + 28 = 5B - 80
2B - 5B = - 80 - 28
- 3B = - 108
B, or Bob�s original amount =
Answer by greenestamps(13206)   (Show Source): You can put this solution on YOUR website!

If they both have the same amount after Bob gives Dave $8, then originally Bob had $16 more than Dave. So let x be the original amount Dave had; then the original amount Bob had was x+16.

When Jane gives $14 to Bob, the amount he now has is x+30.

At that point, the ratio of the amounts Bob and Dave have is 5:2. So

The amount Dave had originally was x=$20; the amount Bob had originally was x+16 = $36.
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