Question

Sutopa has 3/4 of the money Maneet has. Maneet has $18 less than Kim. Together, they have $286.40. How much money does each of them have?

Answer 1

Solving a system of equations we can see:

• Sutopa has $73.20
• Maneet has $97.60
• Kim has $115.60

How much money each of them has?

First, let's define the variables:

• S =  money that Sutopa has.
• M = money that Maneet has.
• K = money that Kim has.

We can write the system of equations:

S = (3/4)*M

M = K - $18

S + M + K = $286.40

First, we can rewrite the second equation to get:

K = M + $18

Now we can replace the first and second equations into the third one:

(3/4)*M + M + (M + $18) = $286.40

Now we can solve this for M:

M*(1 + 1 + 3/4) = $286.40 - $18

M = $268.40*(4/11) = $97.60

Now we can find the other two values:

K = M + $18 =  $97.60 + $18 = $115.60

S =  (3/4)*M =  (3/4)*$97.60 = $73.20

If you want to learn more about systems of equations:

brainly.com/question/13729904

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