Atheater 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% and the tax in the second city was 9.5%. the total hotel tax paid for the two cities was $611.25. how much was the hotel charge in each city before tax?

$513.75

Step-by-step explanation:

Let the amount before tax at the first hotel be x

The amount at the second hotel will be x+500

:

0.065x+0.03(x+500) = 513.75

0.065x+0.03x+15 = 513.75

0.095x = 498.75

x = 5,250 this is for the first hotel.

The second hotel: 5,250+500 = 5,750

Check:

1st city: 5,250*0.065 = 341.25

2nd city: 5,750*0.03 = 172.50

. . . . . . . Total . : 513.75 Correct

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490