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. Write a system of equation to represent this situation, then solve the system of equations to find the number of each item rented.

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 [tex]x.[/tex]

And let the number of bicycle rented be [tex]y.[/tex]

So, the owner of the business has total rentals:

[tex]x+y=25[/tex]

[tex]x=25-y\ \ \ ......(1)[/tex]

Now, the total amount it takes:

[tex]15(x)+20(y)=450[/tex]

Substituting the value of [tex]x[/tex] from equation (1):

[tex]15(25-y)+20(y)=450\\\\375-15y+20y=450\\\\375+5y=450[/tex]

Subtracting both sides by 375 we get:

[tex]5y=75[/tex]

Dividing both sides by 5 we get:

[tex]y=15.[/tex]

The number of bicycles rented = 15.

Now, substitute the value of [tex]y[/tex] in equation (1):

[tex]x=25-y\\\\x=25-15\\\\x=10.[/tex]

The number of skates rented = 10.

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