£940 is divided between gavin, jim & krutika so that gavin gets twice as much as jim, and jim gets three times as much as krutika. how much does jim get

$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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