A business rents in-line skates and bicycles. During one day, the business has a total of 26 rentals and collects $485 for the rentals. If in-line skates are rented for $10 per day and bicycles are rented for $35 per day, find the number of pairs of stakes rented and the number of bicycles rented.

A business rents in-line skates and bicycles.

During one day the business has a total of 26 rentals and;

Collects $485 for the rentals.

In-line skates are rented for $10 per day and;

Bicycles are rented for $35 per day.

Solution:

Let the number of in-line skates rented be x and;

The number of bicycles rented be y.

x + y = 26 ... (i)

10x + 35y = 485 ... (ii)

This forms a system of linear equations (i) and (ii)

Solving this system by elimination;

We multiply (i) by 10 and (ii) by 1

10x + 10y = 260 ... (i)

10x + 35y = 485 ... (ii)

Subtracting (ii) - (i) gives;

25y = 225, y = 225/25 = 9

x = 26 - 9 = 17

The number of in-line skates rented were 17.

The number of bicycles rented were 9.