SOLUTION: Please help me set up to solve this problem:
A father left 1/2 of his estate to his son, 1/3 of his estate to his granddaughter, and the remaining $6000 to charity. What was his
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Question 163856This question is from textbook Mathematics in our World
: Please help me set up to solve this problem:
A father left 1/2 of his estate to his son, 1/3 of his estate to his granddaughter, and the remaining $6000 to charity. What was his total estate?
Thank you in advance!
Randi
This question is from textbook Mathematics in our World
Found 2 solutions by kennedysj, ankor@dixie-net.com:
Answer by kennedysj(5) (Show Source): You can put this solution on YOUR website!
Let x be the total amount of the estate.
Then = son's share
= granddaughter's share
So or the total estate.
Solving this equation requires finding a common denominator of 6 for the fractions.
combining like terms we get
Subtracting the (5/6)*x from both sides gives us
Multiplying both sides by 6 gives us
Therefore the entire estate was $36000.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A father left 1/2 of his estate to his son, 1/3 of his estate to his granddaughter, and the remaining $6000 to charity. What was his total estate?
:
Let x = his total estate
:
total estate = son$ + daughter$ + $6000
x = x + x + 6000
Multiply equation by 6 to get rid of the denominators, solve for x
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