A restaurant meal cost $35.50 and there was no tax. If the

Question

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

BrentGMATPrepNow · Accepted Answer

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

Only answer choice B meets this requirement

Bunuel · Answer

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.

Answer: B.

tracy0317 · Answer

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)

Bunuel · Answer

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.

ScottTargetTestPrep · Answer

We can determine the lower end and the upper end of the meal cost plus the tip. The lower end is the meal cost plus 10% tip:

35.50 + 0.1(35.50) = 35.50 + 3.55 = $39.05

The upper end is the meal cost plus 15% tip:

35.50 + 0.15(35.50) = 35.50 + 5.33 = $40.83

Thus, the total amount paid is between $39 and $41.

Answer: B

ArnauG · Answer

Given:
Cost of the meal = $35.50

Let's calculate the range of the tip amount:
Minimum tip (10% of the cost of the meal) = 0.10 * $35.50 = $3.55
Maximum tip (15% of the cost of the meal) = 0.15 * $35.50 = $5.33

Now, we'll calculate the range of the total amount paid by adding the cost of the meal to the minimum and maximum tip amounts:
Minimum total amount paid = $35.50 + $3.55 = $39.05
Maximum total amount paid = $35.50 + $5.33 = $40.83

Therefore, the total amount paid must have been between $39.05 and $40.83, which corresponds to option (B) in the given choices.

KhayatiK · Answer

if we observe the AOs, 1 will notice all options are distinct - no overlap. this means, we can only focus of ensuring tht we find the exact value of 10% of 35.50 = 3.550 , followed by addition of the tip to the og amount = 35.50+3.550 = 39.050. only Option B starts with 39 so we do not need to go any further from here (and calculate 15% of 35.50 , add tip to 35.50). Observing the answer options before jumping to solve has been a standard suggestion i have observed , and it seems to work!.

Walkabout

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

A restaurant meal cost $35.50 and there was no tax. If the

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A restaurant meal cost $35.50 and there was no tax. If the

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