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

Answer:

2220 motorcycles enter on a typical day

Step-by-step 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

$25x + 20y = 137650$

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

$5y = 11100$

$y = \frac{11100}{5}$

$y = 2220$

2220 motorcycles enter on a typical day