1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ahat [919]
3 years ago
5

Anna enjoys dinner at a restaurant in Washington DC where the sales tax on meals is 5%. She leave a 20% tip on the price of her

meal before the sales tax is added and the tax is calculated on the pre-tip amount. She spends a total of $65.50 for dinner. What is the cost of her dinner without tax or tip?
Mathematics
1 answer:
Maru [420]3 years ago
8 0

Answer:

52.40

Step-by-step explanation:

Discussion

Suppose the meal starts out as x.

She pays 5% of x as a sales tax

So that brings the total up to 100% + 5% = 105%

Before paying, she pays 20% on x as her tip. The tax does not touch the tip.

So that brings the total up to 100% + 5% + 20% = 125% of this is based on x, the cost of the meal.

So 125% of x = 65.50                          change the % to a fraction

125/100 * x = 65.50                             Multiply both sides by 100/125  

125/100 * 100/125x = 100/125 * 65.50

x = 100/125 * 65.50                             Multiply by 100

x = 6550 / 125                                     Divide by 125

Check

Tax = 5% * 52.40 = 5/100 * 52.40 = 2.62

Tip = 20%*52.40 = 20/100 * 52.40=10.48

Meal =                                               52.40

Total                                                  65.50  Just as it should

You might be interested in
Rosie buys 1/2 of a watermelon at the farmer's market. She shares it equally with her two best friends. 1/2 divided by 3. How mu
Andre45 [30]
1/2 divide by 3 or 1/[2(3)] which will be equal to 1/6
7 0
3 years ago
Read 2 more answers
Which property or postulate is shown? If A=B and B=C, then A=C.
podryga [215]

This is the transitive property :)

6 0
3 years ago
Read 2 more answers
Which equation gives the number of 1/4 centimeter that are in 7/3 centimeter?
Deffense [45]

Answer:

7/8 divided by 1/4 = 7/2

Step-by-step explanation:

Use the reciprocal when dividing fractions. :)

3 0
2 years ago
Which of these relations is a function
Serggg [28]
Second one ...... i hope it’s right
8 0
3 years ago
BRAINLIESTTT ASAP! PLEASE HELP ME :)
lions [1.4K]
<h3>Answer: Choice C</h3>

Here's how the verification would look like

\frac{\sin^2x+\cos^2x}{\cos x} = \sec x

\frac{1}{\cos x} = \sec x using the identity here

\sec x =  \sec x

5 0
3 years ago
Other questions:
  • Please I need help with this question.<br>No 22. Is very important.<br>Thank you.​
    8·1 answer
  • Quiz
    15·1 answer
  • I need help solving these equations....
    8·1 answer
  • A rectangular tank has a base that is 10 centimeters by 5 centimeters and a height of 20 centimeters. If the tank is half full o
    5·1 answer
  • If the diameter of a regulation size basketball is 9.4 inches, what is the surface area? Round to the nearest tenth.
    7·2 answers
  • You can walk 1 1/2 miles in 1/2 an hour what is your average speed
    13·1 answer
  • How can I do this. 0.025 as a percentage of 12.4. Rounded to two decimal places?
    7·1 answer
  • Someone please help me
    5·1 answer
  • Please help I don’t understand
    8·1 answer
  • Does this graph represent a function?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!