Question

A company rents moving trucks out of two locations: St. Louis and Tampa. Some of their customers rent a truck in one city and return it in the other city, and the rest of their customers rent and return the truck in the same city. The company owns a total of 500 trucks.

The company has seen the following trend:
- About 30 percent of the trucks in St. Louis move to Tampa each week.
- About 60 percent of the trucks in Tampa move to St. Louis each week.
Suppose right now St. Louis has 330 trucks. How many trucks will be in each city after 1 week?

Answer 1

After 1 week, St. Louis will have 333 trucks and Tampa will have 167 trucks, given the movement percentages and the total number of trucks.

Step-by-step explanation:

The student's question involves calculating the number of trucks at two locations after one week given current numbers and the percentages that move between locations. With 330 trucks currently in St. Louis, after one week, 30 percent of these trucks will move to Tampa. Similarly, because the company owns 500 trucks in total, there are 170 trucks in Tampa currently (500 trucks - 330 trucks). After one week, 60 percent of these trucks will move to St. Louis.

Calculating these moves:

• Trucks moving from St. Louis to Tampa: 0.30 x 330 = 99 trucks
• Trucks moving from Tampa to St. Louis: 0.60 x 170 = 102 trucks

After these movements, the number of trucks in each location will be:

• St. Louis: 330 (initial) - 99 (moved) + 102 (arrived) = 333 trucks
• Tampa: 170 (initial) + 99 (arrived) - 102 (moved) = 167 trucks

So, after 1 week, St. Louis will have 333 trucks and Tampa will have 167 trucks.