jonna mixed 1/4 gallon of orange juice and 1/2 gallon of pineapple juice to make punch. each serving is 1/16 gallon. how many servings can jonna make?
1/4 + 1/2 = 3/4 gallon
3/4 divided by 1/16 is 12
Answer = Jonna can make 12 servings
Answer:
12 servings.
Step-by-step explanation:
We have been Joanna mixed 1/4 gallon of orange juice and 1/2 gallon of pineapple juice to make punch.
First of all, we will find amount of punch by adding amount of orange juice and pineapple juice as:
\(\text{Amount of punch}=\frac{1}{4}+\frac{1}{2}\)
Make a common denominator:
\(\text{Amount of punch}=\frac{1}{4}+\frac{1*2}{2*2}\)
\(\text{Amount of punch}=\frac{1}{4}+\frac{2}{4}\)
\(\text{Amount of punch}=\frac{1+2}{4}\)
\(\text{Amount of punch}=\frac{3}{4}\)
Now, we will divide total amount of punch by amount of each serving to find number of servings.
\(\text{Number of servings}=\frac{3}{4}\div \frac{1}{16}\)
Convert to multiplication problem by flipping the 2nd fraction:
\(\text{Number of servings}=\frac{3}{4}\times \frac{16}{1}\)
\(\text{Number of servings}=3\times 4\)
\(\text{Number of servings}=12\)
Therefore, Jonna can make 12 servings of punch shake.