a theater group made appearances in Two Cities the hotel charge before tax in the second city was $1,500 higher than in the first the tax in the first city was 5% in the tax in the second city was 4% the total hotel tax paid for the two cities was $352.50 how much was the hotel charge in each City before tax
Let
x ------> the hotel charge in the first city before tax
y -----> the hotel charge in the second city before tax
we have that
y=x+1,500 ------> equation A
0.05x+0.04y=352.50 ------> equation B
solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
so
using a graphing tool
see the attached figure
please wait a minute
the solution is the point (3,250, 4,750)
therefore
the hotel charge in the first city before tax was $3,250
the hotel charge in the second city before tax was $4,750