A business executive and his client are charging their dinner tab on

Question

A business executive and his client are charging their dinner tab on the executive's expense account. The company will only allow them to spend a total of 50$ for the meal. Assuming that they will pay 7% in sales tax for the meal and leave a 15% tip, what is the most their food can cost?

A. 39.55$
B. 40.63$
C. 41.63$
D. 42.15$
E. 43.15$

A. 39.55$
B. 40.63$
C. 41.63$
D. 42.15$
E. 43.15$

Lampard42 · Answer

Where X is the maximum food cost ; X*1.07*1.15 = 50; Instead of solving this substitute answer choices

Using C 41.63 results in 51.2 so X must be slightly lower than 41.63. IMO B

RJ7X0DefiningMyX · Answer

In such questions, what's the general rule for application of tip? Is it applied over the cost of the meal (excluding tax) or over the cost of the meal (including tax)?

VeritasKarishma   Bunuel   chetan2u  can you please help here?

Archit3110 · Answer

meal cost they can afford with taxes will have to reverse calculated
50/1.07 = 46.7 
46.7/1.15 = 40.63
IMO B

KarishmaB · Answer

The question should specify though usually the tip is calculated on the complete cheque amount so you should use successive percentage changes - increase of 7% and then increase of 15%.

DarleneTran · Answer

Where X is the maximum food cost ; X*1.07*1.15 = 50; Instead of solving this substitute answer choices

-->How do you calculate "X*1.07*1.15 = 50" in the fastest way???

ScottTargetTestPrep · Answer

Letting n = the cost of the food, we can create the equation:

50 = 1.07n x 1.15

50 = 1.2305n

40.63 = n

Answer: B

exc4libur · Answer

50=x*1.07*1.15
50=x*107*115/10^4
x=50*10^4/107*115
x=10^5/107*23
x=10^5/(100*23+7*23)
x=10^5/(2300+161)
x=10^5/(2461)
x=10000/(~2500)
x>~40

Ans (B)

luisdicampo · Answer

Deconstructing the Question

Total allowed expense =  50 .

They must pay:
7% sales tax
15% tip

Total multiplier:

1 + 0.07 + 0.15 = 1.22

Let food cost be  F .

Step-by-step

F 	imes 1.22 = 50

F = \frac{50}{1.22}

\frac{50}{1.22} \approx 40.98

Closest answer choice:

Answer: B

A business executive and his client are charging their dinner tab on

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