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
jekas [21]
3 years ago
5

A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first.

The tax in the first city was 6.5% and the tax in the second city was 4.5% The total hotel tax paid for the two cities was $582.50
. How much was the hotel charge in each city before tax?
Mathematics
1 answer:
Mazyrski [523]3 years ago
6 0

Answer:

First city: $5,500

Second city: $5,000

Step-by-step explanation:

Let's define x as the hotel price in the first city and y the hotel price in the second city.  We can start with this equation:

y = x - 500 (The hotel before tax in the 2nd city was $500 lower than in the 1st.)

Then we can say

0.065x + 0.045y = 582.50  (the sum of the tax amounts were $582.50)

We place the value of y from the first equation in the second equation:

0.065x + 0.045 (x - 500) = 582.50

0.065x + 0.045x - 22.50 = 582.50 (simplifying and adding 22.5 on each side)...

0.11x = 605

x = 5,500

The cost of the first hotel was $5,500

Thus, the cost of the second hotel was $5,000 (x - 500)

You might be interested in
It costs $3.00 for 45 gallons of detergent. What is the cost per gallon of detergent? *
Sladkaya [172]

Answer:

0,06

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Explain how 0 tens and 27 ones and 1 ten and 17 ones show the same answer and the answer is 27
Law Incorporation [45]
Because 0 + 27 is 27 and 10 + 17 is 27 as well 

4 0
2 years ago
Use Inverse Operations to solve.Check Your Answer<br><br> 17 + k = 54
lesya [120]
When you do the inverse operation which in this case would be subtraction you do  54-17 and then you do 17 minus 17 which leaves you with the variable 54-17=34 so k=34

8 0
3 years ago
Read 2 more answers
Complete the statement with equal to, greater than, or less than. 1/3 x 2 1/6 will be 2 1/6
schepotkina [342]

Answer:         c

Step-by-step explanation:

bc

7 0
2 years ago
A bottle can hold 2.75 liters of water. About how many gallons can the bottle hold? Round to the nearest hundredth.
Serjik [45]
1 gallon is equal to 3.78541 liters 
6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the number whose 13% is 65.​
    12·2 answers
  • What is the area of the parallelogram shown?
    9·2 answers
  • How do you do this problem?<br> Solve by factoring or finding square roots.<br> x^2-1=0
    6·2 answers
  • Carl took his brother to dinner. The bill, including tax, was $50. Carl left a tip of $8. What percent of the bill did Carl leav
    8·1 answer
  • The figure shown represents a piece of chocolate.
    14·1 answer
  • How many triangles can be constructed with angles measuring 10º, 80º, and 90º?
    9·2 answers
  • Find the midpoint of the line segment joining the points (-1, - 2) and (-7, 11).
    13·1 answer
  • This bar graph would be MOST useful in a report about
    9·2 answers
  • The question is on the picture
    11·1 answer
  • The pair of polygons below are similar. Give the scale factor of figure A to figure B
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!