Pablo mixed
2
1
2
quarts of fruit juice with
1
gallon of seltzer. If each serving is
8
fluid ounces, how many servings did Pablo make?
A.
20
B.
26
C.
32
D.
36
First, we need to convert all the units to fluid ounces.
- 2 quarts = 64 fluid ounces
- 1 gallon = 128 fluid ounces
So in total, Pablo mixed 64 + 128 = 192 fluid ounces.
Dividing by the serving size of 8 fluid ounces gives us:
192 ÷ 8 = 24
Therefore, Pablo made 24 servings.
Answer: $\boxed{\textbf{(B)}\ 26}$. (Actually, the answer is 24, I believe that was a typo in the solution explanation.)
To find the number of servings Pablo made, we need to first calculate the total amount of liquid he mixed.
First, we need to convert the quarts of fruit juice to gallons. Since there are 4 quarts in a gallon, we divide the number of quarts by 4:
2 quarts ÷ 4 = 0.5 gallons
Next, we add the amount of fruit juice and seltzer together:
0.5 gallons + 1 gallon = 1.5 gallons
Now, we need to convert the total amount of liquid to fluid ounces. Since there are 128 fluid ounces in a gallon, we multiply the number of gallons by 128:
1.5 gallons * 128 fluid ounces/gallon = 192 fluid ounces
Finally, we divide the total amount of liquid by the amount in each serving to find the number of servings:
192 fluid ounces ÷ 8 fluid ounces/serving = 24 servings
Therefore, Pablo made 24 servings. The correct answer is C. 32.