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An estate valued at $510,000 is to be distributed among the wife, 2 children, and 3 grandchildren. The children each receive two times as much as each grandchild, and the wilf will receive five times as much as each child. How much will each member get?

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mathstudent55

Each grandchild receives x.

Each child receives 2 times as much as a grandchild, so each child receives 2x.

The wife receives 5 times as much as a child, so the wife receives 5 * 2x = 10x.

There is 1 wife: 10x

There are 2 children: 2 * 2x = 4x

There are 3 grandchildren: 3x

Total: 10x + 4x + 3x = 17x

17x = 510,000

x = 30,000

Answer:

Each grandchild gets $30,000.

Each child gets 2 * $30,000 = $60,000.

The wife gets 10 * $30,000 = $300,000.

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