A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 higher than in the first. The tax in the first city was 4.5%, and the tax in the second city was 3.5% . The total hotel tax paid for the two cities was $317.50. How much was the hotel charge in each city before tax? First city: Second city:

$3750 and $4250

Step-by-step explanation:

x + 500 = y

.045x + .035y = 317.50

.045x + .035(x + 500) = 317.50

.045x + .035x + 17.5 = 317.50

.08x = 300.00

x = 3750

y = 4250

Option C -

Step-by-step explanation:

Given : The Jones family plans a trip to the amusement park a purchase a family package for $128.00. They also want to buy lunch and souvenir cups. The chicken platter costs $8.50 each and the burger platter costs $9.50 each. The souvenir cups each cost $10.00

To find : Which of the following algebraic expressions can be used to describe the amount of money the Jones family will spend, before sales tax, based on the number of each meal and souvenir cups purchased?

Solution :

Let x represent the number of chicken platters.

Let y represents the number of burger platters.

Let z represent the number of souvenir cups.

A family package cost is $128.00.

The chicken platter costs $8.50 each

The cost of x chicken platter =

The burger platter costs $9.50 each.

The cost of y burger platter =

The souvenir cups each cost $10.00

The cost of z souvenir cups  =

Therefore, Total they spend is

Hence, Option C is correct.