SOLUTION: A man left an estate of $64,000 to three children. The eldest child received 3 times as much as the youngest. The middle child received $14,000 more than the youngest. How much did

Question 178841: A man left an estate of $64,000 to three children. The eldest child received 3 times as much as the youngest. The middle child received $14,000 more than the youngest. How much did each child get? thanks so much
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A man left an estate of $64,000 to three children. The eldest child received 3
times as much as the youngest. The middle child received $14,000 more than
the youngest. How much did each child get? thanks so much.
:
Let x = amt received by the youngest
:
Write an equation for each statement:
:
"The eldest child received 3 times as much as the youngest."
eldest amt = 3x
:
"The middle child received $14,000 more than the youngest."
middle amt = (x+14000)
;
How much did each child get?
:
we know the three amts add up to 64000
3x + (x+14000) + x = 64000
3x + x + x = 64000 - 14000
5x = 50000
x
x = $10,000 amt rec'd by the youngest
and
10000 + 14000 = $24,000 amt rec'd by the middle child
and
3(10000) = $30,000 amt rec'd by the eldest
:
:
you can check our solution by finding the total of the 3 amts
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