Answer:
A) The fraction of sum of money did each child receive is [tex]\frac{3 x}{16}[/tex]
B) The sum of money did Jeff have $ 3200
Step-by-step explanation:
Given as :
Let The sum of money did Jeff have = $ x
The fraction of money did Jeff's wife get = [tex]\frac{1}{4}[/tex] of $ x
The remaining money Jeff will have = $ x - [tex]\frac{1}{4}[/tex] of $ x
I.e The remaining money Jeff will have = [tex]\frac{4 x - x}{4}[/tex]
= [tex]\frac{3 x}{4}[/tex]
A ) The remaining amount of money is divided equally among 4 children
So, The fraction of sum of money did each child receive = [tex]\frac{\frac{3 x}{4}}{4}[/tex]
I.e The fraction of sum of money did each child receive = [tex]\frac{3 x}{16}[/tex]
B ) If each child will receive $ 600
∴, [tex]\frac{3 x}{16}[/tex] = $ 600
Or, 3 x = $ 600 × 16
Or, 3 x = $ 9600
∴ x = [tex]\frac{9600}{3}[/tex]
I.e x = $ 3200
So, The sum of money did Jeff have $ 3200
Hence ,
A) The fraction of sum of money did each child receive is [tex]\frac{3 x}{16}[/tex]
B) The sum of money did Jeff have $ 3200 Answer
ɛasʏ ɛxքʟɨռatɨօռ stɛք ɮʏ stɛք:
(a) jeff gave 1/4 to his wife, then divided the remainder equally among his 4 Children so....
4-1=3
1/4×3/4 {the four comes from the 4 children}
=3/16
(b) 3/16×600=3/9600 °simplify it° 1/3200
and 1/3200 is equal to 3200
the sum of the money is $3200
hope this helped, have a great day! :)
