Question

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.

Answer 1

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 $x.$

And let the number of bicycle rented be $y.$

So, the owner of the business has total rentals:

$x+y=25$

$x=25-y\ \ \ ......(1)$

Now, the total amount it takes:

$15(x)+20(y)=450$

Substituting the value of $x$ from equation (1):

$15(25-y)+20(y)=450\\\\375-15y+20y=450\\\\375+5y=450$

Subtracting both sides by 375 we get:

$5y=75$

Dividing both sides by 5 we get:

$y=15.$

The number of bicycles rented = 15.

Now, substitute the value of $y$ in equation (1):

$x=25-y\\\\x=25-15\\\\x=10.$

The number of skates rented = 10.

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