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
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 ✔
To find out how much the woman's daughter receives, we need to follow a step-by-step approach.
Step 1: Determine the total ratio of the man and the woman.
In this case, the ratio between the man and the woman is given as 1:4, which means the total ratio is 1+4 = 5.
Step 2: Calculate the woman's share of the prize money.
The total prize money is $1000. Since the ratio is 1:4, the woman's share can be calculated as (4/5) * $1000 = $800.
Step 3: Divide the woman's share among herself, her mom, and her daughter.
The ratio of sharing the woman's part is given as 2:1:1.
To calculate the daughter's share, we need to add up the parts of the ratio, which is 2+1+1 = 4.
Step 4: Calculate the daughter's share of the woman's part.
The daughter's share can be calculated as (1/4) * $800 = $200.
Therefore, the woman's daughter will receive $200 from her share of the prize money.
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