Final answer:
Erica can fill 76 cups of coffee for her breakfast event by converting 25 and 1/3 pints to cups and then dividing by the size of each cup, which is 2/3 cup.
Step-by-step explanation:
To determine how many cups Erica can fill with 25 and 1/3 pints of coffee, we must first convert pints to cups using the unit equivalence that 1 pint = 2 cups.
- Multiply 25 and 1/3 pints by the conversion factor of 2 to find the total number of cups.
- 25 + 1/3 can be represented as a fraction as 76/3.
- Now, convert: (76/3) × 2 = 152/3 = 50 + 2/3 cups.
- Each cup holds 2/3 cup of coffee. So, to find out how many cups can be filled, we divide the total cups of coffee by the size of each cup.
- 50 + 2/3 divided by 2/3 is the same as (50 + 2/3) × (3/2).
- After simplifying, we get 50 × (3/2) + 1 = 75 + 1 = 76.
Therefore, Erica can fill 76 cups of coffee for her breakfast event.