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Question

A,B,C,D,E walked into a restaurant for dinner. A paid 1/2 of the bill, B paid 1/5 of the bill and the rest of the bill was shared equally , by C,D,E. How much did C,D and E pay. What fraction of the bill was paid by C,D and E ?

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Solution

The bill is taken as whole so the bill is 1

A paid = 1/2
B paid = 1/5

C,D,E paid equal amounts.Let it be 'x'
Total amount fraction = 1
So A + B + C + D + E = 1/2 + 1/5 + x + x + x = 1
(5 + 2)/10 + 3x = 1
7/10 + 3x = 1
3x = 1 - 7/10
3x = 3/10
x = 1/10

So required fraction of bill paid by C,D,E each is 1/10

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