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.

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:

`(7)/(6)`

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

`(7)/(6)=(14)/(x)`

Now solve for "x":

`(x)((7)/(6))=14\\\\x=(14)((6)/(7))\\\\x=12`

Then the total number of sodas sold that day is:

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