Yesterday, The Coffee Spot sold 9 carafes of caffeinated coffee and 10 1/5 carafes of decaffeinated coffee. How many carafes of coffee did they sell in all?

Write your answer as a fraction or as a whole or mixed number.

carafes

The Coffee Spot sold a total of 9 carafes of caffeinated coffee and 10 + 1/5 = 10 1/5 carafes of decaffeinated coffee.

To add 9 and 10 1/5, we can convert 9 to a fraction with a denominator of 5 and add the fractions:
9 = 9/1 = 45/5

Now we can add the fractions:
45/5 + 10 1/5 = 45/5 + (10*5+1)/5 = 45/5 + 51/5 = (45+51)/5 = 96/5

So, The Coffee Spot sold 96/5 carafes of coffee in total.