Respuesta :
Answer:The girl will get $2,000, the mother $4,000 and the boy $8,000
Step-by-step explanation:
f the amount the girl gets = x
The mother gets twice as much as the girl = 2x
And the boy get twice as much as the mother = 4x
Overall
x + 2x + 4x = $14,000
7x = $14,000
Divide both sides by 7 so
x=$2,000
The division of money amongst them would be as follows:
Girl = $42,000
The Mother = $84,000
The Boy = $1,68,000
Let's assume that,
The amount received by the girl be [tex]x[/tex]
Given that,
The amount received by the mother is twice the girl = [tex]2x[/tex]
The amount received by the boy is double the mother [tex]= 4x[/tex]
As per the question,
Total [tex]= 294,000[/tex]
[tex]x + 2x + 4x[/tex][tex]= 294,000[/tex]
Now by solving, we get
[tex]7x = 294000[/tex]
∵ [tex]x = 294000/7[/tex] [tex]= 42000[/tex]
The girl will get [tex]x = 42000[/tex]
The mother will get = [tex]2[/tex] × [tex]42000[/tex] [tex]= 84000[/tex]
The boy will get = [tex]4[/tex] × [tex]42000[/tex] = [tex]1,68,000[/tex]
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