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# At a certain restaurant, a meal cost \$42, and there was no tax. If the

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Math Expert
Joined: 02 Sep 2009
Posts: 49913
At a certain restaurant, a meal cost \$42, and there was no tax. If the  [#permalink]

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12 Oct 2017, 23:17
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Question Stats:

94% (01:01) correct 6% (01:11) wrong based on 26 sessions

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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

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At a certain restaurant, a meal cost \$42, and there was no tax. If the  [#permalink]

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13 Oct 2017, 04:19
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.

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

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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Re: At a certain restaurant, a meal cost \$42, and there was no tax. If the  [#permalink]

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16 Oct 2017, 17:14
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

If the tip was 15%, then the total amount, including the tip, is 1.15(42) = \$48.30.

If the tip was 20%, then the total amount, including the tip, is 1.2(42) = \$50.40.

We see that the total amount of the meal, including the tip, was between \$48 and \$51.

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Re: At a certain restaurant, a meal cost \$42, and there was no tax. If the &nbs [#permalink] 16 Oct 2017, 17:14
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