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
Advocard [28]
3 years ago
14

A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first

. The tax the first city was 7.5%, and the tax in the second city was 8.5%. The total hotel tax paid for the two cities was $595. How much was the hotel charge in each city before tax?​
Mathematics
1 answer:
Artyom0805 [142]3 years ago
3 0

Answer:

Let x = the charge in 1st city before taxes

Let y = the charge in 2nd city before taxes

 

 

Set up equation before taxes.

 

y = x - 1500        eq1

 

 

Set up equation for total tax paid.

 

0.065x + 0.06y = 378.75         eq2

 

 

Substitute eq1 into eq2.

 

0.065x + 0.06(x - 1500) = 378.75

0.065x + 0.06x - 90 = 378.75

0.125x - 90 = 378.75

0.125x = 468.75

       x = 3750

 

Substitute this value of x into eq1.

 

y = 3750 - 1500

y = 2250

 

 

The hotel charge in city one is $3750 and the hotel charge in city two is $2250

You might be interested in
4x - y<br> Please someone help me I don't understand?
Alja [10]
Divide each term by <span>4</span> and simplify.Tap for less steps...Divide each term in <span><span><span>4x</span>=y</span><span><span>4⁢x</span>=y</span></span> by <span>44</span>.<span><span><span><span>4x</span>4</span>=<span>y4</span></span><span><span><span>4⁢x</span>4</span>=<span>y4</span></span></span>Reduce the expression by cancelling the common factors.So your answer would be x=y over 4
8 0
3 years ago
Which number is greater 17×10^8 4×10^8
Sunny_sXe [5.5K]

Answer:

17×10^8 is greater

Step-by-step explanation:

The expontent comes first which gives you

1000000000 then you multiply that with 17 to get

1700000000

3 0
2 years ago
Read 2 more answers
At the market 5 light bulbs cost 9.85. How much do 7 light bulbs cost?
Leya [2.2K]
The unit rate is $1.97 per lightbulb. Multiply $1.97 by 7 to get 13.79
5 0
3 years ago
Read 2 more answers
Its 1:35 what time it will be in 40 mins?
gulaghasi [49]
2:15 hope it helps your welcome
6 0
2 years ago
Read 2 more answers
What would 672,831 be rounded to the nearest hundred
maks197457 [2]

Answer:

672,800

Step-by-step explanation:

672,800 672800

8 0
3 years ago
Other questions:
  • 3(125-4)-18 i need help
    12·2 answers
  • It costs $2.80 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 170% of the cos
    7·2 answers
  • -2x + 4x = -4 + 0<br> What is the answer?
    8·2 answers
  • Fred's sporting goods is providing a $5 discount on a bicycle that costs $80. What is the percentage of the discount?
    13·1 answer
  • Which statements are correct interpretations of this graph?
    9·1 answer
  • The set of y values of a function, this is another name for range.
    9·2 answers
  • George weeded 1/4 of the garden, and summer weeded, some too. When they were finished, 2/5 of the garden still needed to be weed
    7·1 answer
  • Can someone answer this because this one is confusing and I need help.
    11·1 answer
  • One side of an equilateral triangle is
    10·1 answer
  • Please help me I will give you extra points and whoever the first one to answer I mark you with the brain thing. 7
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!