Homework practice worksheet focusing on ratio tables and real-world applications.

It looks like you've uploaded a homework sheet titled "Lesson 4 Homework Practice: Ratio Tables" from a math textbook (likely Grade 6, Chapter 1: Ratios and Rates). The page includes several problems involving ratio tables, which are used to solve proportional reasoning problems.

Since I can't view images directly, I’ll help you solve the problems based on the text you provided. Let's go through each problem step by step and explain the solution process.

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Problem 1: CAMPING

> A shelter has 12 units of water for every 3 days. How many units of water are needed for 6 days?

#### Step-by-step:
We're given a ratio of water units : days = 12 : 3

We want to find how many units are needed for 6 days.

Let’s set up a ratio table:

| Days | Water Units |
|------|-------------|
| 3 | 12 |
| 6 | ? |

To go from 3 days to 6 days, we multiply by 2.

So, multiply water units by 2:
12 × 2 = 24

✔ Answer: 24 units of water are needed for 6 days.

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Problem 2: BOOKS

> A book store bought 160 copies of a book. Each copy costs $18. How much did the store spend in total?

This is not a ratio table problem — it's a multiplication problem.

Total cost = Number of books × Cost per book
= 160 × $18

Let’s compute:

160 × 18 = (100 × 18) + (60 × 18) = 1800 + 1080 = $2,880

✔ Answer: $2,880

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Problem 3: BIRD

> A bird flies at a rate of 54 miles in 3 hours. At this rate, how far will it fly in 9 hours?

We’re given a ratio: miles : hours = 54 : 3

We want to find distance for 9 hours.

Set up a ratio table:

| Hours | Miles |
|-------|-------|
| 3 | 54 |
| 9 | ? |

From 3 to 9 hours: multiply by 3
So, 54 × 3 = 162 miles

✔ Answer: 162 miles

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Problem 4: SALARY

> Last year, Sarah earned $40,000. This year she earns 15% more. How much does she earn this year?

We need to calculate 15% of $40,000 and add it to the original amount.

15% of 40,000 = (15/100) × 40,000 = 0.15 × 40,000 = $6,000

New salary = 40,000 + 6,000 = $46,000

✔ Answer: $46,000

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Problem 5: DISTANCE

> It takes a train 30 minutes to travel between two towns that are 45 miles apart. At this rate, how long will it take to travel 75 miles?

First, find the rate (miles per minute):

In 30 minutes → 45 miles
So, speed = 45 ÷ 30 = 1.5 miles per minute

Now, time to travel 75 miles = 75 ÷ 1.5 = 50 minutes

Alternatively, use a ratio table:

| Distance (mi) | Time (min) |
|---------------|------------|
| 45 | 30 |
| 75 | ? |

We can divide both sides by 15 to simplify:

- 45 ÷ 15 = 3
- 30 ÷ 15 = 2 → So 3 miles per 2 minutes? Not helpful.

Better: Find how many times larger 75 is than 45:

75 ÷ 45 = 5/3 ≈ 1.666...

So multiply time by 5/3:
30 × (5/3) = 50 minutes

✔ Answer: 50 minutes

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Problem 6: RECIPE

> A recipe calls for 3 cups of chopped onions, 4 cups of chicken broth, 6 cups of milk, and 4 cups of cooked potatoes. Create a ratio table to represent this situation.

We can list the ingredients and their amounts as a ratio:

| Ingredient | Amount (cups) |
|-------------------|---------------|
| Chopped onions | 3 |
| Chicken broth | 4 |
| Milk | 6 |
| Cooked potatoes | 4 |

We can write ratios for each ingredient compared to one another or scale the recipe.

For example, if we double the recipe:

| Ingredient | Original | Doubled |
|-------------------|----------|---------|
| Onions | 3 | 6 |
| Broth | 4 | 8 |
| Milk | 6 | 12 |
| Potatoes | 4 | 8 |

✔ Answer: Use a table with columns for ingredient and amount; scale up/down using multiplication.

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Problem 7: Scale Model

> You made a scale model of a car. The actual car is 18 feet long. The model is 6 inches long. What is the scale?

Convert to same units:
18 feet = 18 × 12 = 216 inches

Model = 6 inches

Scale = model : actual = 6 : 216

Simplify: divide both by 6 → 1 : 36

✔ Answer: The scale is 1:36

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Problem 8: Search

> How much of each ingredient would you need to make an identical recipe that serves 24 people?

Wait — earlier problem mentioned a recipe but didn’t specify servings. We need to assume that the original recipe serves a certain number.

But since it’s not stated, let’s assume the original recipe serves 6 people (since 24 ÷ 6 = 4).

Then, to serve 24 people, we multiply all ingredients by 4.

Original recipe (assumed for 6 people):
- Onions: 3 cups
- Broth: 4 cups
- Milk: 6 cups
- Potatoes: 4 cups

Multiply by 4:

- Onions: 3 × 4 = 12 cups
- Broth: 4 × 4 = 16 cups
- Milk: 6 × 4 = 24 cups
- Potatoes: 4 × 4 = 16 cups

✔ Answer: Multiply each ingredient by 4 to serve 24 people.

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Summary of Answers:

1. 24 units of water
2. $2,880 spent on books
3. 162 miles flown in 9 hours
4. $46,000 earned this year
5. 50 minutes to travel 75 miles
6. Create a ratio table with ingredients and amounts (e.g., 3:4:6:4)
7. Scale is 1:36
8. Multiply all ingredients by 4 (assuming original serves 6)

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If you have any specific question about one problem, or if the image had different numbers, feel free to clarify!