if 35 of the 140 cars delivered to a dealer were blue, what percent of the car is blue
The correct answer and explanation is:
Correct Answer:
To find the percentage of cars that are blue: Percentage=(35140)×100=25%\text{Percentage} = \left( \frac{35}{140} \right) \times 100 = 25\%
Explanation (300 words):
To determine what percent of the cars delivered to the dealer were blue, we use a simple percentage formula: Percentage=(PartWhole)×100\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
In this case:
- Part = Number of blue cars = 35
- Whole = Total number of cars = 140
We plug these values into the formula: (35140)×100=25%\left( \frac{35}{140} \right) \times 100 = 25\%
This means 25% of the cars delivered were blue.
Why This Works:
Percentages are a way of expressing a part out of 100. When we say “25%,” we’re saying 25 out of every 100 items are of a certain kind. So, calculating what percent one number is of another involves dividing the part by the total and then multiplying by 100 to convert it to a percent.
In practical terms, if a car dealer receives 140 vehicles and 35 of them are blue, the blue ones represent one-quarter of the total. One-quarter (or ¼) is mathematically equivalent to 0.25, and when expressed as a percent, it becomes: 0.25×100=25%0.25 \times 100 = 25\%
Why Percentages Are Useful:
Using percentages makes it easy to compare proportions across different situations. For example, if another dealer received 200 cars and 50 were blue, they also received 25% blue cars. This standardization allows us to compare different-sized groups quickly and fairly.
In conclusion, 25% of the cars delivered were blue, and this is found by using the formula for percentage based on part and whole.