The total amount of Mrs. Spring's estate is $200,000
<h3>What is a fraction?</h3>
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Let the total estate = 100x
Share left with Sam = 50x
Remaining share = 50x
Now,
Share left with cousin Fred = 1/2 of 50x = 25x
Remaining share = 25x
Share left with nephew Bill = 1/2 x (25x) = 12.5x
Remaining share = 12.5x
Share left with the care of the cat Chester = 12.5x
12.5x = $25,000
Now,
12.5x = $25,000
Multiply with 100/12.5 on both sides.
100/12.5 x 12.5x = 100/12.5 x $25,000
100x = $200,000
Thus,
The total amount of Mrs. Spring's estate is $200,000
Learn more about fractions here:
brainly.com/question/24370499
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