Question

A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 higher than in the first. The tax in the first city was 8.5% and the tax in the second city was 7%. The total got all tax paid for the two cities was $918.75, how much was the hotel charge in each city before tax?

Answer 1

A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 higher than in the first. The tax in the first city was 8.5% and the tax in the second city was 7%. The total got all tax paid for the two cities was $918.75, how much was the hotel charge in each city before tax?

Let

x -------> charge before tax in the second city

y ------> charge before tax in the first city

so

x=y+1500 -------> equation A

8.5%=0.085

7%=0.07

0.085y+0.07x=918.75 -------> equation B

Solve the system of equations

Solve by graphing

Remember that

when solving a system of equations by graphing, the solution is the intersection point both graphs

so

using a graphing tool

see the attached figure

therefore

The charge before tax in the second city was $6,750

The charge before tax in the first city was $5,250