3/4 of the seats in a school bus were occupied. after 3 students got off the bus, only 2/3 of the seats were occupied. The 3 students are equivalent to________of the bus seating capacity, then seating capacity of the bus=_____________.
I will be happy to critique your thinking on this.
To find the answer, let's break down the information given step by step.
1. Initially, 3/4 of the seats on the school bus were occupied. This means that 3/4 of the seats were filled with students.
2. After 3 students got off the bus, the number of occupied seats decreased. Now, only 2/3 of the seats were occupied.
3. To find out how many seats the 3 students fill, we need to determine the difference between 3/4 and 2/3.
- From 3/4 to 2/3, the difference in the fraction would be (2/3) - (3/4).
- To calculate this, we need a common denominator, which is 12. So, (2/3) becomes (8/12), and (3/4) becomes (9/12).
- The difference between (8/12) and (9/12) is (9/12) - (8/12) = (1/12).
4. We now know that the 3 students who got off the bus represent 1/12 of the total seating capacity.
To find the seating capacity of the bus, we need to determine how many times 1/12 goes into 100% (or 1 whole).
5. Divide 1 whole (100%) by 1/12, or divide 1 by (1/12):
- 1 ÷ (1/12) = 1 × (12/1) = 12.
Therefore, the 3 students who got off the bus represent 1/12 of the seating capacity, and the seating capacity of the bus is 12.