3 friends had dinner at a restaurant . when the bill was received , akshitha paid 3 / 4 as much as veena paid and veena paid 1 / 2 as much as lasya paid . what fraction of the bill did veena pay ?
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Let's assume Veena paid = x
a/c to question, akshitha paid 3 / 4 as much as veena paid.
so, Akshitha paid = 3x/4
again, a/c to question, veena paid 1 / 2 as much as lasya paid.
so, Lasya paid = 2x
total bill paid is given by,
Veena paid + Akshitha paid + Lasya paid = 1 [ actually we are found fractional paid of all friends that's why sum of fractional paid should be 1 ]
x + (3/4)x + 2x = 1
3x + (3/4)x = 1
15x/4 = 1
x = 4/15
hence, Veena paid 4/15 part of bill.
a/c to question, akshitha paid 3 / 4 as much as veena paid.
so, Akshitha paid = 3x/4
again, a/c to question, veena paid 1 / 2 as much as lasya paid.
so, Lasya paid = 2x
total bill paid is given by,
Veena paid + Akshitha paid + Lasya paid = 1 [ actually we are found fractional paid of all friends that's why sum of fractional paid should be 1 ]
x + (3/4)x + 2x = 1
3x + (3/4)x = 1
15x/4 = 1
x = 4/15
hence, Veena paid 4/15 part of bill.
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Answer:
We are given that:
Akshitha paid 3/4 as much as Veena. This means that Akshitha paid 3/4 x
Veena paid half as much as Laysa, i.e. Laysa paid twice as much as Veena. This means that Laysa paid 2x
Now the total bill is 100% of the paid which is 1 as a fraction. It is equivalent to the sum of the amount paid by each of the three.
This means that:
1=3/4 x+x+2x
1= 15/4 x
x= 4/15
This means that Veena paid 4/15 of the bill
Operations used are:
Addition, multiplication and division
Hope this helps
Step-by-step explanation:
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