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

2.   2 3/5.

3.   2 1/2.

step-by-step explanation:

6 - 3 2/5

= 6 -   17/5

= 30/5 - 17/5

= 13/5

= 2 3/5 (answer).

5 1/4 - 2 3/4

= 21/4 - 11/4

= 10/4

= 2 1/2 (answer).