Jeff gave 1/4 of a sum of money to his wife. then he divided the remainder equally among his 4 children.
a) what fraction of the sum of money did each child receive
b)if each child received $600, find the sum of money

A) The fraction of sum of money did each child receive is

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 = of $ x

The remaining money Jeff will have = $ x - of $ x

I.e The remaining money Jeff will have =

                                                                =

A ) The remaining amount of money is divided equally among 4 children

So, The fraction of sum of money did each child receive =

I.e The fraction of sum of money did each child receive =  

B ) If each child will receive $ 600

∴,   = $ 600

Or, 3 x = $ 600 × 16

Or, 3 x = $ 9600

∴    x =

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

B) The sum of money did Jeff have $ 3200   Answer

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.