Question

A store had 112 diet sodas. The ratio of diet sodas to regular sodas was 8:4. How many regular sodas were there?

Answer 1

Answer:

56

Step-by-step explanation:

There are two ways the answer to this question can be determined

Method 1 : the fast method

We know that 8 is twice 4

4 x 2 = 8

The ratio of diet soda = 8

the ratio of regular sodas = 4

Diet sodas = 112

the number of regular sodas = 112 / 2 = 56

Method 2 : The long method

I would first determine the total number of diet and regular sodas. Let the total number be represented by d

from the question, the following equation can be derived :

(8/12) x d = 112

divide both sides of the equation by 12/8 to determine the value of d

d = 112 x (12/8) = 168

We can now derive a value for the number of regular soda

regular sodas = ( ratio of regular sodas / total soda) x total number of sodas

(4/12) x 168 = 56