in his will,mr.adams left 25% of his estate to his wife and unevenly divided the rest of the balance between his son and daughter.if the son received $36,000 as his share,what was the total value of the estate?
Try this equation with x representing the total value of the estate:
.25x = x - 72,000
igot 45000 for an answer would that be correct?
How can it be $45,000 when we know that the son and daughter got a total of $72,000?
Solve the equation.
If you need help solving equations, check this site.
http://www.sosmath.com/algebra/solve/solve1/s13/S13/S13.html
ihave just tried to solve the problem and i got 90000
Good. You're closer. :-)
.25x = x - 72,000
72,000 = x - .25x
72,000 = .75x
72,000/.75 = .75x/.75
96,000 = x
To prove this answer, we can substitute 96,000 for x.
Or we can apply it to the problem. Mrs. Adams received 25% of 96,000 or $24,000. Her children received a total of $72,000.
24,000 + 72,000 = 96,000
To find the total value of the estate, we can follow these steps:
Step 1: Determine the son's share.
From the information given, we know that the son received $36,000 as his share.
Step 2: Calculate the daughter's share.
Since the son and daughter together received the remaining balance of the estate after the wife received her share, we can calculate the daughter's share.
As the son received 25% of the estate, it means that the remaining balance, which is the daughter's share plus the son's share, represents 75% of the total estate value. We can set up the equation:
Son's Share + Daughter's Share = 75% of Total Estate Value
$36,000 + Daughter's Share = 75% of Total Estate Value
Step 3: Calculate the wife's share.
From the information given, we know that the wife received 25% of the estate. Therefore, the remaining balance after the son and daughter received their shares represents 100% - 25% = 75% of the total estate value.
Step 4: Determine the total estate value.
To find the total estate value, we need to calculate the value corresponding to 100% of the estate, which means 100% is equal to the remaining balance after the wife, son, and daughter receive their respective shares.
We can set up the equation:
Wife's Share + Son's Share + Daughter's Share = 100% of Total Estate Value
Wife's Share + $36,000 + Daughter's Share = 100% of Total Estate Value
Step 5: Calculate the total estate value.
Since we now have two equations with two unknowns (Daughter's Share and Total Estate Value), we can solve for the unknowns.
Given that the son's share is $36,000 and the wife's share is 25% of the estate:
Daughter's Share + $36,000 = 75% of Total Estate Value
Wife's Share = 25% of Total Estate Value
Now we can substitute the Wife's Share with 25% of the total estate value in the first equation:
Daughter's Share + $36,000 = 75% of Total Estate Value
0.25 * Total Estate Value + $36,000 = 75% of Total Estate Value
Simplifying:
0.25 * Total Estate Value = 75% of Total Estate Value - $36,000
0.25 * Total Estate Value = 0.75 * Total Estate Value - $36,000
Next, we can isolate the Total Estate Value on one side of the equation:
0.25 * Total Estate Value - 0.75 * Total Estate Value = - $36,000
Simplifying:
-0.5 * Total Estate Value = - $36,000
Finally, we can solve for Total Estate Value by dividing both sides of the equation by -0.5:
Total Estate Value = (- $36,000) / (-0.5)
Total Estate Value = $72,000
Therefore, the total value of the estate is $72,000.