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?

Respuesta :

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:

[tex]\text{Amount of punch}=\frac{1}{4}+\frac{1}{2}[/tex]

Make a common denominator:

[tex]\text{Amount of punch}=\frac{1}{4}+\frac{1*2}{2*2}[/tex]

[tex]\text{Amount of punch}=\frac{1}{4}+\frac{2}{4}[/tex]

[tex]\text{Amount of punch}=\frac{1+2}{4}[/tex]

[tex]\text{Amount of punch}=\frac{3}{4}[/tex]

Now, we will divide total amount of punch by amount of each serving to find number of servings.

[tex]\text{Number of servings}=\frac{3}{4}\div \frac{1}{16}[/tex]

Convert to multiplication problem by flipping the 2nd fraction:

[tex]\text{Number of servings}=\frac{3}{4}\times \frac{16}{1}[/tex]

[tex]\text{Number of servings}=3\times 4[/tex]

[tex]\text{Number of servings}=12[/tex]

Therefore, Jonna can make 12 servings of punch shake.