A man and a woman share a prize of $1000 between them in the ratio 1:4. The woman shares her part between herself, her mom and daughter in the ratio 2:1:1. How much does her aughter recieve..........follow my insta acc

1 answer

man: woman = 1 : 4
woman : mom; daughter = 2:1:1 = 4:2:2

man:woman:mom:daughter = 1 : 4 : 2 : 2 = x : 4x : 2x : 2x

x+4x+2x+2x = 1000
9x = 1000
x = 1000/9 or $111.11

check:
daughter gets 2x = 2000/9 = appr $222.22
mom gets 2x = 2000/9
woman gets 4x = 4000/9
man gets x = 1000/9

man: woman = 1000/9 : 4000/9 = 1000:4000 = 1 : 4 ✔
woman:mom:daughter = 4000/9:2000/9:2000/9 = 4:2:2 = 2:1:1 ✔
1000/9 + 4000/9 + 2000/9 + 2000/9 = 9000/9 = 1000 ✔