Question

Mr. Peterson sold a parcel of land and decided to share half of the amount he got among his three children Jane, Peter and martha in the ratio 4:5:7 respectively and according to their ages. the youngest child, who is 12 years old, received a$2000. how much money did peter and martha received?

Answer 1

$6,000

Explanation:

If
`y` is the amount of money a child receives, and
`x` is the total amount being divided among the children, then

Jane's share:
`y = (4)/(4+5+7) * x = (4)/(16)x`

Peter's share:
`y = (5)/(4+5+7) * x = (5)/(16)x`

Martha's share:
`y = (7)/(4+5+7) * x = (7)/(16)x`

We know Jane got $2000, so we can use that to solve for
`x`:

`(4)/(16) x = 2000`

`x = (16)/(4) * 2000 = 8000`

Plug this x value in to find how much Peter and Martha received:

`(5)/(16) * 8000 + (7)/(16) * 8000 = $6000`

Answer 2

60,000

Explanation:

Jane-2000

Peter-ratio of 5=25000

Marta-ratio of 7=35000

25000+35000

60000