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3. Your father gives one-half of the money in his pocket to your mother, one-fourth of what is left to your brother, and one-third of what then remains to your sister. He then splits the rest with you. If you get $4.00, how much did your father start with?​

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Answer:

The father start with $16

Explanation:

Let

x -----> the original amount of money

step 1

Your father gives one-half of the money in his pocket to your mother


(1)/(2)(x)=(1)/(2)x

The remaining is


x-(1)/(2)x=(1)/(2)x

step 2

Your father gives, one-fourth of what is left to your brother


((1)/(4))(1)/(2)x=(1)/(8)x

The remaining is


(1)/(2)x-(1)/(8)x=(3)/(8)x

step 3

Your father gives one-third of what then remains to your sister


((1)/(3))(3)/(8)x=(3)/(24)x

The remaining is


(3)/(8)x-(3)/(24)x=(6)/(24)x=(1)/(4)x

step 4

Your father gives the rest with you


(1)/(4)x=\$4


x=\$16

therefore

The father start with $16

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