Answered

Explore a wide range of topics and get answers from experts on IDNLearn.com. Discover prompt and accurate answers from our experts, ensuring you get the information you need quickly.

A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 higher than in the first. The tax in the first city was 7.5%, and the tax in the second city was 5.5%. The total hotel tax paid for the two cities was $700. How much was the hotel charge in each city before tax?

Sagot :

Varshamittal029idn

The hotel charge in city one is $767 and the hotel charge in city two is $2276.

Let x = the charge in 1st city before taxes and

Let y = the charge in 2nd city before taxes

The equation before taxes:

y = x ₊ 1500 ..eq(1)

The equation for total tax paid:

0.075x ₊ 0.055y = 700 ..eq(2)

Substitute equation 1 that is y value in equation 2.

0.075x ₊ 0.055(x₊1500) = 700

0.075x ₊ 0.055x ₊ 82.5 = 700

add the variables and subtract the constants.

0.805x = 700 ₋ 82.5

0.805x = 617.5

x = 617.5/0.805

x = 767

now substitute x value in equation 1.

y = 767 ₊ 1500

y = 2267

Hence the hotel charge before the tax in the first city was $767 and in the second city was $2267.

Learn more about Linear equations here:

brainly.com/question/1884491

#SPJ9

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.