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:
[tex]7 : 6[/tex]
This ratio can also be written as a fraction:
[tex]\frac{7}{6}[/tex]
Knowing that in that day they sold 14 diet sodas, you can write the following proportion:
[tex]\frac{7}{6}=\frac{14}{x}[/tex]
Now solve for "x":
[tex](x)(\frac{7}{6})=14\\\\x=(14)(\frac{6}{7})\\\\x=12[/tex]
Then the total number of sodas sold that day is:
[tex]Total=14\ sodas+12\ sodas=26\ sodas[/tex]
