Question

A group of people planned to go on a trip using 12 buses. The number of people on each bus was the same. They realized they didn't need quite so many buses, so they cancelled 2 of the buses and redistributed all the people equally among the buses. Each bus ented up with 5 aditional people.

Answer 1

To solve this problem, we can use basic algebra. The original number of people on each bus was 6.

Step-by-step explanation:

Certainly! Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating those symbols. It involves the study of mathematical operations and relationships using letters and symbols to represent numbers and quantities.

To solve this problem, we can use basic algebra. Let's say that the original number of people on each bus was 'x'. Since there were 12 buses, the total number of people before the cancellation was 12x. After cancelling 2 buses, there were 10 buses left. The new number of people on each bus is (12x - 2x) / 10 = 5 additional people per bus.

Simplifying the equation, we have 10x - 2x = 50. Combining like terms, we get 8x = 50. Dividing both sides by 8, we find that x = 6.25.

So, there were originally 6.25 people on each bus. Since we cannot have a fraction of a person, we round down to the nearest whole number, which means that each bus originally had 6 people on it.