Answer:
The number of skates rented are 10 and number of bicycle rented are 15.
Step-by-step explanation:
Given:
Business rents in-line skates and bicycles to tourists on vacation. A pair of skates rents for $15 per day. A bicycle rents for $20 per day. On a certain day, the owner of the business has 25 rentals and takes in $450.
Now, to find the number of each item rented.
Let the number of skates rented be 
And let the number of bicycle rented be 
So, the owner of the business has total rentals:


Now, the total amount it takes:

Substituting the value of
from equation (1):

<em>Subtracting both sides by 375 we get:</em>
<em />
<em />
<em>Dividing both sides by 5 we get:</em>

The number of bicycles rented = 15.
Now, substitute the value of
in equation (1):

The number of skates rented = 10.
Therefore, the number of skates rented are 10 and number of bicycle rented are 15.