A rich farmer's Will states that 1/4 of his property should be given to his son, 2/3 of the remainder to his internal family 5/6 of what remained to his wife and the remainder which valued GH¢ 3000 to his local church. Find the value of his property.

Question

Mathematics

Kylie Cortez

26 August, 18:53

A rich farmer's Will states that 1/4 of his property should be given to his son, 2/3 of the remainder to his internal family 5/6 of what remained to his wife and the remainder which valued GH¢ 3000 to his local church. Find the value of his property.

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Answers (1)

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Alexis Campbell · Answer 1

GH¢72,000

Step-by-step explanation:

Let total property=x

1/4 of x = his son

1/4x=son

Total remaining

x-1/4x = 3/4x

2/3 of 3/4x=internal family

2/3*3/4x

=6/12x

=1/2x

Remainder=3/4x-1/2x

=1/4x

5/6 of what remained to his wife

5/6 of 1/4x

5/6*1/4x

=5/24x

Remainder=GH¢ 3000 to his local church

1/4x-5/24x=GH¢3000

1/24x=GH¢3000

x=GH¢3000:1/24

=GH¢3000*24/1

=GH¢72,000

The value of his property=

GH¢72,000