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Ann, Carol, and Judy paid a total of $45 for their dinner at a restaurant. If Ann paid 2/5 of the total amount, Carol paid $17, and Judy paid the rest, what fraction of the total amount did Judy pay?

Option A:

2/9

Option B:

14/45

Option C:

1/3

Option D:

2/5

Option E:

7/15

Option A is the correct answer.

Let the amount paid by Ann, Carol and Judy be x, y and z respectively

Given x+y+z = 45

x = 2/5th (45) = 18

z = 17

y = 10

So, Judy paid = 10 / 45 = 2/9

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