Question

a theater group made appearances in two cities.The hotel charge before tax in the second city was $15000 higher than in the first. The tax in the first city was 7.5%,and the tax in the second city was 3.5%.The total hotel tax paid for the two cities was $465.how much was the hotel charge in each City before taxes?first city ___$second ____$

Answer 1

ok

first city = x

second city = y

0.075x + 0.035y = 465

y = x + 15000

Solve for y

0. y = 15000 + x

Find y

0.075x + 0.035(15000 + x) = 465

0.075x - 525 + 0.035x = 465

0.11x = 465 + 525

0.11x = 60

x = 60/0.11

x = $545.5

y = 15000 - 545.5

y = $14454.5

The charge in the first city was $545.5

The charge on the second city was $14454.5