Question

Entering Yellowstone National Park costs $25 for a car and $20 for a motorcycle. On a typical day; 5950 cars or motorcycles enter and pay a total of $137,650. How many motorcycles enter on a typical day

Answer 1

2220 motorcycles enter on a typical day

Explanation:

To solve this questions, we need to solve a system of equations.

I am going to say that:

x is the number of cars

y is the number of motorcycles:

5950 cars or motorcycles enter

This means that
`x + y = 5950`

$25 for a car and $20 for a motorcycle. Total of $137,650.

This means that
`25x + 20y = 137650`

We want y.

From the first equation, we have that
`x = 5950 - y`

Replacing in the second equation

`25x + 20y = 137650`

`25(5950 - y) + 20y = 137650`

`5y = 11100`

`y = (11100)/(5)`

`y = 2220`

2220 motorcycles enter on a typical day