Question

3.Six Flags charge and entrance fee per person and a fee per every ride that you get on. When 6 teachers went to Six Flags and rode on 20 rides total, they ended up paying $350. When 15 people went to Six Flags and rode on 47 rides they paid $900. Write an expression for this situation.

Answer 1

Explanation:

Expression:

y = mx + n*b

In which m is the cost per ride and b is the entrance fee.

y is the total cost, x is the number of rides and n is the number of people.

When 6 teachers went to Six Flags and rode on 20 rides total, they ended up paying $350.

This means that:

20m + 6b = 350

When 15 people went to Six Flags and rode on 47 rides they paid $900.

This means that:

47m + 15b = 900

Solving the system:

20m + 6b = 350

47m + 15b = 900

Multiplying the first equation by -5, the second by 2.

-100m - 30b = -1750

94m + 30b = 1800

-6m = 50