A coffee shop offers a special: 33% extra free or 33% off the regular price. Which offer is a better deal? Explain your reasoning.

33% off the regular price

Step-by-step explanation:

Lets give these a variables to help us better understand this concept

In our scenario lets say the price is $10.00 and you get 10 milliliters prior to the special, this is arbitrary as any values would do

33% extra free

For the 33% extra free deal you get 3.3 milliliters more for $10 for a total of 13.3 milliliters [Math behind this solution: (10*.33)+10]

So now to know how much you're getting per dollar:

13.3/10 = 1.33 ml per dollar

33% off the price

This basically means 67% of the actual price so with that being said

you'd be paying $6.7 for 10 ml. This means you get 1.49 ml per dollar

Compare

1.33ml vs 1.49ml

1.33 < 1.49 so thus 33% off the price is a better deal