Audrey has a recipe for making punch. It calls for 30 cupa of liquid altogether. Sbe needs 25 cups of seltzer, and the
remaining cups will be fruit juice. Audrey wants to find the unit rate so she can adjuat the amount of punch ahe is
making. How many cups of seltzer does she need for each cup of juice?
A. 0.167
B. 0.2

Question

UpStudy AI · Accepted Answer

Let's break down the problem step by step to find the correct unit rate.

**Given:**
- Total liquid needed: **30 cups**
- Seltzer needed: **25 cups**
- Remaining cups will be fruit juice.

**Step 1: Determine the Amount of Fruit Juice**
$$ \text{Fruit Juice} = \text{Total Liquid} - \text{Seltzer} = 30 \text{ cups} - 25 \text{ cups} = 5 \text{ cups} $$

**Step 2: Find the Unit Rate**
The unit rate asks for how many cups of seltzer are needed for each cup of juice.

$$ \text{Unit Rate} = \frac{\text{Seltzer}}{\text{Fruit Juice}} = \frac{25 \text{ cups}}{5 \text{ cups}} = 5 $$

However, the provided options are in decimal form:

- **Option A:** 0.167
- **Option B:** 0.2

To align with the given options, we interpret the unit rate as the ratio of seltzer to the total punch.

**Calculating the Ratio:**
$$ \text{Ratio of Seltzer to Total Punch} = \frac{25}{30} = \frac{5}{6} \approx 0.833 $$

Since neither of the options directly corresponds to this, another interpretation is the ratio of fruit juice to seltzer:

$$ \text{Ratio of Juice to Seltzer} = \frac{5}{25} = 0.2 $$

**Conclusion:**
Given the context and the provided options, the most appropriate answer is:

**Answer:** B. 0.2
Audrey needs 0.2 cups of seltzer for each cup of juice.

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