cheena spent 3/4 of her pocket money .She spends 1/2 of it on a book 1/6 on movie, and the rest on a dress . What part of her money did she spend on her dress.
Answers
Answer:
Cheena spend 1/4 of her pocket money on her dress
Step-by-step explanation:
Let the Cheena pocket money is x and y be price which he spend on dress
According to the first condition
Cheena tatal spend = 3 / 4 of x
= 3x / 4
Cheena spend on book = 1 / 2 of ( 3x / 4 ) = 3x / 8
Cheena spend on movie = 1 / 6 of ( 3x / 4 ) = x / 8 = x / 8
Cheena spend on dress = y
NOW
Total spend = Cheena spend on ( book + movie + dress )
Putting the values we get
3x / 4 = 3x / 8 + x / 8 + y
Multiplying by 8 on both sides we get
6x = 3x + x + 8y
⇒ 6x = 4x + 8y
⇒ 8y = 2x
⇒ y = x / 4
So
Cheena spend 1/4 of her pocket money on her dress.
Given : Cheena spends 3/4 of her pocket money.
She spends 1/2 of it on a book, 1/6 on a movie and the remaining amount on a dress.
To find : What part of her pocket money did she spend on the dress?
Solution:
Assume that pocket money of Cheena = 24M
Cheenaspends 3/4 of her pocket money.
= (3/4) 24M
= 18M
She spends 1/2 of it on a book,
Spent on Book = (1/2(18M = 9M
1/6 on a movie
Spent on movie = (1/6)18M = 3M
Spent on Dress = 18M - 9 M - 3M
= 6M
part of her pocket money she spend on the dress = 6M/24M
= 1/4
1/4 part of her pocket money did she spend on the dress
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