Math
posted by jess on .
A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 higher than in the first. The tax in the first city was 4% , and the tax in the second city was 7% . The total hotel tax paid for the two cities was $455 . How much was the hotel charge in each city before tax?
Please help me follow the steps. I understand that you have to put the two cities in equations and solve but the numbers confuse me. the total of the two cities and the number earned.

first hotel charge  $x
2nd hotel charger  $x+1000
.04x + .07(x+1000) = 455
how about multiplying each term by 100 if you don't like decimals
4x + 7(x+1000) = 45500
11x + 7000 = 45500
11x = 38500
x = 3500
first hotel cost $3500
2nd hotel cost $4500
check:
.04(3500) + .07(4500) = 455 
A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 higher than the first. The tax in the first city was 8.5% and the tax in the second city was 4%. The total hotel tax paid for the two cities was $613.75. How much was the hotel charge in each city before tax?