When a retired police officer passes away, he leaves $325,000 to be divided among his 4 children and 5 grandchildren. The will specifies that each child is to get twice as much as each grandchild. How much does each get? Plz help

grandchildren get 25,000 and child gets 50,000

Step-by-step explanation:

Each children will receive $50,000 and each grandchildren will receive $25,000.

Step-by-step explanation:

Let c be the amount of money each children receives, and g be the amount of money each grandchildren receives. Based on the given information, below is our equation:

4c + 5g = 325,000

We know that each child has twice as much as each grandchildren. So we will put it as following.

c = 2g

In order to find the value of g, we will now substitute our second equation into our first equation.

4(2g) + 5g = 325,000

We then multiply 2g by 4.

8g + 5g = 325,000

We then simplify by adding any like terms.

13g = 325,000

We finally divide by 13 on both sides.

g = $25,000

We now know the amount of money each grandchildren will receive. But we don't know yet how much each children will receive. In order to find that information, we should substitute what we already know in our second equation.

c = 2g

c = 2(25,000)

c = $50,000

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Step-by-step explanation: