SOLUTION: Mr Lee left his fortune to his 3 sons,4 daughters and his wife. Each son received twice as much as each daughter and his wife received $6000, which was a quarter of the money. how

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Question 511399: Mr Lee left his fortune to his 3 sons,4 daughters and his wife. Each son received twice as much as each daughter and his wife received $6000, which was a quarter of the money. how much did each son receive?
Answer by ankor@dixie-net.com(22740) (Show Source):
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Mr Lee left his fortune to his 3 sons, 4 daughters and his wife.
Each son received twice as much as each daughter and his wife received $6000, which was a quarter of the money.
how much did each son receive?
:
Find the total amt (A) using the wife's share
.25A = 6000
Multiply both sides by 4
A = 4(6000)
A = $24,000 total
:
Children share: 24000 - 6000 = $18,000
:
"Each son received twice as much as each daughter "
let x = each son's share
then
.5x = each daughters share
:
3x + 4(.5x) = 18000
3x + 2x = 18000
5x = 18000
x =
x = $3600 for each son
:
:
Confirm this by finding the total (each daughter: .5(3600) = 1800)
3(3600) + 4(1800) + 6000 =
10800 + 7200 + 6000 = 24000