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A restaurant meal cost $35.50 and there was no tax. If the
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17 Dec 2012, 08:30

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B

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Difficulty:

5% (low)

Question Stats:

83% (01:30) correct 17% (01:26) wrong based on 656 sessions

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A restaurant meal cost $35.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between

(A) $40 and $42 (B) $39 and $41 (C) $38 and $40 (D) $37 and $39 (E) $36 and $37

Re: A restaurant meal cost $35.50 and there was no tax. If the
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17 Dec 2012, 08:34

1

Walkabout wrote:

A restaurant meal cost $35.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between

(A) $40 and $42 (B) $39 and $41 (C) $38 and $40 (D) $37 and $39 (E) $36 and $37

The total amount for the meal was between 35.5*1.1=39.05 and 35.5*1.15=~41. Only option which covers all possible values of the meal is B.

A restaurant meal cost $35.50 and there was no tax. If the tip w
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09 May 2013, 01:05

just came across this question in OG13 and I thought answer should be A

Let Total paid be T so 39.05<T<40.83. So it fits "inside" A, 40<T<42 so to speak. B states that 39<T<41, which works for the right hand side of T but not for the left. (E.g. if T is 39.01, then tip is only 9.89% of 35.50 - less than 10% requirement in the question)

Re: A restaurant meal cost $35.50 and there was no tax. If the t
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09 May 2013, 02:01

1

tracy0317 wrote:

just came across this question in OG13 and I thought answer should be A

Let Total paid be T so 39.05<T<40.83. So it fits "inside" A, 40<T<42 so to speak. B states that 39<T<41, which works for the right hand side of T but not for the left. (E.g. if T is 39.01, then tip is only 9.89% of 35.50 - less than 10% requirement in the question)

The total amount paid was between 35.5*1.1=39.05 and 35.5*1.15=~41. Only option which covers all possible values of the meal is B.
_________________

Re: A restaurant meal cost $35.50 and there was no tax. If the t
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23 Mar 2014, 01:51

tracy0317 wrote:

just came across this question in OG13 and I thought answer should be A

Let Total paid be T so 39.05<T<40.83. So it fits "inside" A, 40<T<42 so to speak. B states that 39<T<41, which works for the right hand side of T but not for the left. (E.g. if T is 39.01, then tip is only 9.89% of 35.50 - less than 10% requirement in the question)

How does 39.06 fit into --- 40<39.06<42????. So option B makes sense.

A restaurant meal cost $35.50 and there was no tax.
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16 Jul 2014, 16:20

Hi,

I'm stuck on something rather trivial on this relatively easy question.

After calculating 10%, I get 39.05and 40.82. I didn't pick B because I noticed that 39 is less than $39.05, so a number like 39.02 would've made this wrong. Can someone explain why i'm wrong?

Re: A restaurant meal cost $35.50 and there was no tax. If the
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08 Jan 2018, 09:00

Top Contributor

1

Walkabout wrote:

A restaurant meal cost $35.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between

(A) $40 and $42 (B) $39 and $41 (C) $38 and $40 (D) $37 and $39 (E) $36 and $37

10% tip Tip = 10% of $35.50 = $3.55 TOTAL AMOUNT = $35.50 + $3.55 = $39.05

15% tip Tip = 15% of $35.50 ≈ $3.55 + $1.77 ≈ $5.32 TOTAL AMOUNT ≈ $35.50 + $5.32 = $40.82

So, the TOTAL cost will be between $39.05 and $40.82

Re: A restaurant meal cost $35.50 and there was no tax. If the
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08 Jan 2018, 11:09

Walkabout wrote:

A restaurant meal cost $35.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between

(A) $40 and $42 (B) $39 and $41 (C) $38 and $40 (D) $37 and $39 (E) $36 and $37

\(10 < tip < 15\)

Min tip = 10.01 Max tip = 14.99

Min value of meal is 110.01 % 35.50 = 39.05 Max value of meal is 114.99 % 35.50 = 40.82

Hence, answer will be (B) $39 and $41 _________________

Thanks and Regards

Abhishek....

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