Problema Solution
guests staying in two cities, the amount in the second city was 500 less than first city. the tax in first city was 3% and the tax in the second city was 6.5%, the total for the two hotels was $395, How much in each city before tax?
Answer provided by our tutors
let
x = the number of guests in the first city
y = the number of guests in the second city
the amount in the second city was 500 less than first city
y = x - 500
the tax in the first city + the tax in the second = $395
0.03*x + 0.065*y = 395
by solving the system of equations
y = x - 500
0.03*x + 0.065*y = 395
we find
x = 4500 guests
y = 4000 guests
There were 4500 guests in the first city and 4000 guests in the second city.