Answer:
$282
Step-by-step explanation:
We can think of it as an equation system. Lets find out the equations.
There are 3 people: Krutika, Gavin and Jim. Lets call k Kutrika's money and g and j Gavin's and Jim's money respectively.
So, as Gavin gains twice as Jim we can say that:
g = 2j
Then, as Jim gets 3 times more than Kutrika:
j = 3k
And, as the whole sum is 940:
k + j + g = 940.
Notice that both Kutrika's and Gavin's money have a relation to Jim's money, so we can try to write them as function of Jim's money.
If we part from j = 3k and divide both sides by 3:
j/3 = k
So, using this last equation and g = 2j, replacing in the equation that sums the money of everyone:
k + j + g = 940
j/3 + j + 2j = 940
Putting together all the terms that have j imply using 3 as common denominator:
j/3 + 3j/3 + 6j/3 = 940
10j/3 = 940
Dividing both sides by 10/3 (or multiplying by 3/10):
j = 940/ (10/3) = 282
So, Jim has $282. Now we can use the relations we defined to find k and g:
k = j/3 =$94
g = 2j = $564
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