Question

sydney needs 4/5 of a gallon of orange juice to make a batch of punch. if she needs to make 3 1/2 batches of punch, how much orange juice does she need?

Answer 1

Answer:

I don't know

Step-by-step explanation:

I don't know

Answer 2

Given:

$1 \text{ batch} = \dfrac{4}{5} \text{ gallon of orange juice}$

Find 3 1/2 batch:

$1 \text{ batch} = \dfrac{4}{5}$

Multiply both sides by 3 1/2:

$3\dfrac{1}{2} \text{ batches} = \dfrac{4}{5} \times 3\dfrac{1}{2}$

Change to improper fraction:

$3\dfrac{1}{2} \text{ batches} = \dfrac{4}{5} \times \dfrac{7}{2}$

Multiply the fractions together:

$3\dfrac{1}{2} \text{ batches} = \dfrac{4 \times 7}{5 \times 2}$

$3\dfrac{1}{2} \text{ batches} = \dfrac{28}{10}$

Simplify:

$3\dfrac{1}{2} \text{ batches} = \dfrac{14}{5}$

$3\dfrac{1}{2} \text{ batches} =2 \dfrac{4}{5} \text{ gallons of orange juice}$

Answer: She needs 2 4/5 gallon of orange juice.