A convenience store sold 120 diet sodas and 150 regular sodas on Saturday. What is the ratio of the number of diet sodas to regular sodas sold at the convenience store on Saturday?

1 answer

To find the ratio of the number of diet sodas to regular sodas sold, you can set up the ratio using the quantities given:

  • Number of diet sodas sold: 120
  • Number of regular sodas sold: 150

The ratio of diet sodas to regular sodas can be expressed as:

\[ \text{Ratio} = \frac{\text{Number of Diet Sodas}}{\text{Number of Regular Sodas}} = \frac{120}{150} \]

To simplify this ratio, we can divide both the numerator and the denominator by their greatest common divisor. The GCD of 120 and 150 is 30.

Now, divide both numbers by 30:

\[ \frac{120 \div 30}{150 \div 30} = \frac{4}{5} \]

Thus, the simplified ratio of the number of diet sodas to regular sodas sold is:

\[ \boxed{4:5} \]