QuestionA man left half his estate to his wife. His daughter got of the rest, and charity received of what's left, totaling p000. Find the total estate.
Studdy Solution
STEP 1
Assumptions1. The total estate is unknown, let's denote it as.
. Half of the estate goes to the man's wife.
3. of the remaining estate goes to the man's daughter.
4. of the now remaining estate goes to charity.
5. The amount of money that goes to charity is given as p000 dollars.
STEP 2
First, we need to express the amount of money that goes to charity in terms of the total estate.After the wife gets half of the estate, the remaining amount is .
STEP 3
Then, the daughter gets of the remaining estate. So, the amount that goes to the daughter is , and the remaining amount after the daughter gets her share is .
STEP 4
Next, of the now remaining estate goes to charity. So, the amount that goes to charity is .
STEP 5
We know that the amount of money that goes to charity is p000 dollars. So, we can set up the equation
STEP 6
olve the equation for to find the total estate.
The total estate is dollars.
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