Question

Lazarus' Boat Rentals charges a yearly fee of $105 and $9.50 each time a member wants to rent a boat. Robert's Boat Rentals does not charge a yearly fee but charges $14.75 every time a member rents a boat. How many times would a person have to rent a boat for Lazarus' and Robert's charges to be equal? Write an equation and solve.

Answer 1

The number of times a person would need to rent a boat for Lazarus' and Robert's charges to be equal is 20 times

Explanation:

The given information are;

For the Lazarus' Boat Rentals company

The yearly charges by Lazarus' boat company = $105

The charge each time a member rents a boat = $9.50

For the Robert's Boat Rentals company

The yearly charges by Robert's boat company = $0

The charge each time a member rents a boat = $14.75

Let the number of times required before the charges for both Lazarus' Boat Rentals company and Robert's Boat Rentals company to be equal, we have;

$105 + $9.50 × t = $14.75 × t

∴ t = $105/($14.75 - $9.50) = 20 times

The number of times a person would need to rent a boat for Lazarus' and Robert's charges to be equal = 20 times.