Bunuel wrote:
Ann, Carol, and Judy paid a total of $45 for their dinner at a restaurant. If Ann paid (2/5)th of what Judy paid, Carol paid $17 and Judy paid the rest, what fraction of the total amount did Judy pay?
(A) 2/9
(B) 14/45
(C) 1/3
(D) 2/5
(E) 4/9
We can let A = the amount Ann paid, C = the amount Carol paid, and J = the amount Judy paid and create the following equations:
A + C + J = 45
J = 45 - (A + C)
Since A = 2J/5 and C = 17, we have:
J = 45 -[2J/5 + 17]
J = 28 - 2J/5
5J = 140 -
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