The Smith family is looking to rent a large truck for their upcoming move. With Rose's Moving, they would pay $40 for the first day plus $6 per additional day. With Riverside Rent-a-Truck, in comparison, the family would pay $90 for the first day plus $1 per additional day. Before deciding on which company to use, Mrs. Smith wants to find out what number of additional days would make the two choices equivalent with regards to cost. How many additional days would that be?

10 days

Step-by-step explanation:

The Smith family is looking to rent a large truck for their upcoming move. With Rose's Moving, they would pay $40 for the first day plus $6 per additional day. With Riverside Rent-a-Truck, in comparison, the family would pay $90 for the first day plus $1 per additional day. Before deciding on which company to use, Mrs. Smith wants to find out what number of additional days would make the two choices equivalent with regards to cost. How many additional days would that be?

Let the number of additional days = x

With Rose's Moving, they would pay $40 for the first day plus $6 per additional day.

40 + 6x

With Riverside Rent-a-Truck, in comparison, the family would pay $90 for the first day plus $1 per additional day.

90 + x

Comparing both

40 + 6x = 90 + x

6x - x = 90 - 40

5x = 50

x = 50/5

x = 10

The number of additional days = 10 days