Calculating Bus Rentals: An Algebraic Approach

Calculating Bus Rentals: An Algebraic Approach

Need to figure out how many large and medium-sized buses to rent? This example breaks down the problem using algebraic expressions.

Let's say:

• x = the number of large buses* y = the number of medium-sized buses* m = the maximum total number of buses that can be rented

Capacity Considerations:

• Each large bus holds 33 passengers: 33x * Each medium-sized bus holds 22 passengers: 22y

Setting up the Equations:

To avoid empty seats and overcrowding, we need to consider these conditions:

1. Minimum Passengers on Large Buses: 33x ≥ 121 2. Minimum Passengers on Medium-Sized Buses: 22y ≥ 1213. Total Bus Limit: x + y ≤ m

Conclusion:

By using the algebraic expressions x ≤ m, y ≤ m, 33x ≥ 121, and 22y ≥ 121, you can determine the ideal number of large (x) and medium-sized (y) buses to rent while staying within your total bus limit (m) and ensuring sufficient passenger capacity.