Question

When a retired police officer passes away, he leaves $240,000 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?

Answer 1

Each grandchild will get $18,461.54.

Each child will get $36,923.08

There will be a difference of $0.02

Explanation:

Let g = The money that each grandchild will get

Let c = The money that each child will get.

4c + 5g = 240,000

c = 2g Substitute 2g into the first equation for c

4c + 5g = 240,000

4(2g) + 5g = 240,000

8g + 5g = 240,000

13g = 240,000

g = 18,461.54 Rounded to the nearest penny. Each grandchild will get 18,461.54

c = 2g

c = 2(18,461.54) = 36,923.08

Check:

4(36923.08) + 5(18461.54) = 147692.32 + 92307.70 = 240,000.02