About 182 out of 200 students prefer walking instead of riding the bus to school. About what percent of the students prefer walking?
The Correct Answer and Explanation is:
To calculate the percentage of students who prefer walking, you can use the formula for percentage:Percentage=(PartWhole)×100\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100Percentage=(WholePart)×100
In this case, the part is the number of students who prefer walking (182), and the whole is the total number of students (200). So, the formula becomes:Percentage=(182200)×100\text{Percentage} = \left( \frac{182}{200} \right) \times 100Percentage=(200182)×100
Now, divide 182 by 200:182200=0.91\frac{182}{200} = 0.91200182=0.91
Next, multiply 0.91 by 100 to convert it into a percentage:0.91×100=910.91 \times 100 = 910.91×100=91
Therefore, 91% of the students prefer walking instead of riding the bus.
Explanation:
The percentage is a way of expressing a number as a fraction of 100. In this case, by dividing the number of students who prefer walking (182) by the total number of students (200), we determine the proportion of students who prefer walking. Multiplying this ratio by 100 gives us the percentage, which in this case is 91%. This means that out of every 100 students, 91 students prefer walking to school over taking the bus.
