Bunuel wrote:

At a certain restaurant, a meal cost $42, and there was no tax. If the tip was more than 15 percent but less than 20 percent of the cost of the meal, then the total amount paid must have been between

(A) $42 and $45

(B) $45 and $46

(C) $46 and $47

(D) $47 and $48

(E) $48 and $51

The tip is in addition to the cost of the meal.

Calculate a 15 percent tip.

$42 * 1.15 = $48.30

The tip is

more than that.

You have just eliminated answers A, B, C, and D.

The ranges are in ascending order. The highest amount in those four answers is the right hand side of D.

The

higher end of D is not greater than 1.15($42) = $48.30.

The Answer is E.

I did not check, but if you wanted to, the total amount paid must be:

1.15($42) < x < 1.20($42)

$48.30 < x < $50.40

Answer E

Bunuel - I think you might have listed this question twice in the 500-level list. I didn't see the other one until just now.

Here is the link to what I think is a duplicate
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-- Albert Camus, "Return to Tipasa"