Question

A restaurant offers diet soda and regular soda. In one day they sold 14 diet sodas. If the ratio of diet sodas sold to regular sodas sold was 7 : 6, how many sodas were sold total?

Answer 1

Answer: 26 sodas.

Step-by-step explanation:

Let be "x" the number of regular sodas that were sold in that day.

You know that the the ratio of diet sodas sold to regular sodas sold was:

$7 : 6$

This ratio can also be written as a fraction:

$\frac{7}{6}$

Knowing that in that day they sold 14 diet sodas, you can write the following proportion:

$\frac{7}{6}=\frac{14}{x}$

Now solve for "x":

$(x)(\frac{7}{6})=14\\\\x=(14)(\frac{6}{7})\\\\x=12$

Then  the total number of sodas sold that day is:

$Total=14\ sodas+12\ sodas=26\ sodas$