SOLUTION: A man left one-fourth of his estate to his wife, one-fifth to each of his two sons, one-eighth to his daughter and the remainder, an amount P32,000 to charity. Find the amount of t

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: A man left one-fourth of his estate to his wife, one-fifth to each of his two sons, one-eighth to his daughter and the remainder, an amount P32,000 to charity. Find the amount of t      Log On

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Question 5377: A man left one-fourth of his estate to his wife, one-fifth to each of his two sons, one-eighth to his daughter and the remainder, an amount P32,000 to charity. Find the amount of the estate.
Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!
Find a common denominator:
Let x = the amount of the estate
The total estate =
x%2F4=amount left to wife (1/4 of the estate)
2x%2F5=amount left to sons (2 sons at 1/5 of estate)
x%2F8 = amount left to daughter (1/8 of the estate)
so then we know that :
x%2F4+%2B+2x%2F5+%2B+x%2F8+%2B32%2C000+=+x
Find a common denominator and solve for x:
10x%2F40+%2B+16x%2F40+%2B+5x%2F40+%2B+32000+=+x
31x%2F40+%2B+32000+=+x
32000=x-31x%2F40
32000+=+9x%2F40
Multiply both sides by 40%2F9
142222=x