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 receiveb)If each child received $600, find the sum of money
Accepted Solution
A:
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 $ 3200Step-by-step explanation:Given as :Let The sum of money did Jeff have = $ xThe fraction of money did Jeff's wife get = [tex]\frac{1}{4}[/tex] of $ xThe remaining money Jeff will have = $ x - [tex]\frac{1}{4}[/tex] of $ xI.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 childrenSo, 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] = $ 600Or, 3 x = $ 600 × 16Or, 3 x = $ 9600∴ x = [tex]\frac{9600}{3}[/tex]I.e x = $ 3200So, 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