A car factory made 8 cars with a sunroof and 12 cars without a sunroof. What is the ratio of the number of cars with a sunroof to the total number of cars?

1 answer

To find the ratio of the number of cars with a sunroof to the total number of cars, we first need to determine the total number of cars.

The car factory made:

  • Cars with a sunroof: 8
  • Cars without a sunroof: 12

Total number of cars = Number of cars with a sunroof + Number of cars without a sunroof

\[ \text{Total number of cars} = 8 + 12 = 20 \]

Now, we can establish the ratio of cars with a sunroof to the total number of cars:

\[ \text{Ratio} = \frac{\text{Number of cars with a sunroof}}{\text{Total number of cars}} = \frac{8}{20} \]

We can simplify this ratio by dividing both the numerator and the denominator by their greatest common divisor, which is 4:

\[ \frac{8 \div 4}{20 \div 4} = \frac{2}{5} \]

Therefore, the ratio of the number of cars with a sunroof to the total number of cars is 2:5.