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.
