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Three friends had dinner at a restaurant. When the bill was received, Amita paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Tanya paid. What faction of the bill did Veena pay ?
- a)1/3
- b)3/11
- c)12/13
- d)5/8
Correct answer is option 'B'. Can you explain this answer?
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Three friends had dinner at a restaurant. When the bill was received, ...
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Three friends had dinner at a restaurant. When the bill was received, ...
To find out the fraction of the bill that Veena paid, we need to look at the given information and make some calculations.
Let's assume that Tanya paid the total bill amount, and we'll represent it as 'x'.
Given that Veena paid 1/2 as much as Tanya, we can say that Veena paid (1/2)x.
And given that Amita paid 2/3 as much as Veena, we can say that Amita paid (2/3)(1/2)x, which simplifies to (1/3)x.
So, the total amount paid by the three friends is Tanya's amount plus Veena's amount plus Amita's amount, which is x + (1/2)x + (1/3)x.
To find the fraction that Veena paid, we need to find Veena's amount divided by the total bill amount.
So, Veena's amount is (1/2)x, and the total bill amount is x + (1/2)x + (1/3)x.
Therefore, the fraction that Veena paid is ((1/2)x) / (x + (1/2)x + (1/3)x).
Now, let's simplify the expression:
((1/2)x) / (x + (1/2)x + (1/3)x) = (1/2)x / ((6/6)x + (3/6)x + (2/6)x)
= (1/2)x / (11/6)x
= (1/2)x * (6/11x)
= 3/11
Hence, the fraction of the bill that Veena paid is 3/11, which is option (B) in the given choices.
Let's assume that Tanya paid the total bill amount, and we'll represent it as 'x'.
Given that Veena paid 1/2 as much as Tanya, we can say that Veena paid (1/2)x.
And given that Amita paid 2/3 as much as Veena, we can say that Amita paid (2/3)(1/2)x, which simplifies to (1/3)x.
So, the total amount paid by the three friends is Tanya's amount plus Veena's amount plus Amita's amount, which is x + (1/2)x + (1/3)x.
To find the fraction that Veena paid, we need to find Veena's amount divided by the total bill amount.
So, Veena's amount is (1/2)x, and the total bill amount is x + (1/2)x + (1/3)x.
Therefore, the fraction that Veena paid is ((1/2)x) / (x + (1/2)x + (1/3)x).
Now, let's simplify the expression:
((1/2)x) / (x + (1/2)x + (1/3)x) = (1/2)x / ((6/6)x + (3/6)x + (2/6)x)
= (1/2)x / (11/6)x
= (1/2)x * (6/11x)
= 3/11
Hence, the fraction of the bill that Veena paid is 3/11, which is option (B) in the given choices.
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Three friends had dinner at a restaurant. When the bill was received, ...
Amita : Veena = 2 : 3
Veena : Tanya = 1 : 2
Amita : Veena : Tanya = 2 : 3 : 6
Veena's share = 3/11
Veena : Tanya = 1 : 2
Amita : Veena : Tanya = 2 : 3 : 6
Veena's share = 3/11
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Three friends had dinner at a restaurant. When the bill was received, Amita paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Tanya paid. What faction of the bill did Veena pay ?a)1/3b)3/11c)12/13d)5/8Correct answer is option 'B'. Can you explain this answer?
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