If 3 of a liter of juice gives you 80% of your daily value of vitamin C, then how much juice
will give you 100% of your daily value of vitamin C? Show how to solve this problem with the aid of a math drawing and a percent table. Explain
your reasoning.

To solve this problem, we need to determine how much juice will provide 100% of your daily value of vitamin C, given that 3/4 of a liter provides 80% of the daily value.

### Step-by-Step Explanation

#### 1. **Understand the relationship between the amount of juice and the percentage of vitamin C provided.**

- \( \frac{3}{4} \) liter of juice gives you 80% of your daily vitamin C.

We want to find out how many liters of juice, \( x \), will give you 100% of your daily vitamin C.

#### 2. **Set up a proportion.**

Let \( x \) represent the amount of juice that gives you 100% of your daily vitamin C. The problem can be set up as a proportion:

\[
\frac{3/4}{80\%} = \frac{x}{100\%}
\]

#### 3. **Solve the proportion.**

To solve for \( x \), you can cross-multiply and solve:

\[
\frac{3}{4} \times 100 = x \times 80
\]

\[
300 = 80x
\]

\[
x = \frac{300}{80} = 3.75 \text{ liters}
\]

So, \( x = 3.75 \text{ liters} \).

#### 4. **Percent Table.**

We can also break down the problem using a percent table to visualize the relationship between the juice and the percentage of daily vitamin C:

| Juice (liters) | Vitamin C (%) |
|----------------|---------------|
| 0.75 (3/4)     | 80%           |
| 0.75 / 80 × 100 = 3.75     | 100%          |

By scaling up from 80% to 100%, we see that 3.75 liters of juice would be needed to reach 100% of the daily value.

#### 5. **Visual Representation (Math Drawing)**

We can visualize this using a simple bar diagram or fraction representation:

- Draw a bar to represent \( 3/4 \) liter of juice and mark that as 80%.
- Extend the bar to represent the full 100%, and divide it into equal parts.
- By comparing the sections, you can see that extending the 80% to 100% increases the amount of juice to \( 3.75 \) liters.

### Final Answer:
You need **3.75 liters of juice** to get 100% of your daily value of vitamin C.

---

Would you like me to create the drawing and a more detailed breakdown?

### 5 Related Questions:
1. How would you calculate the amount of juice needed for 50% of daily vitamin C?
2. If 1 liter of juice provides 100% of the daily value, how much would 3/4 of a liter provide?
3. Can you find how much juice provides 150% of the daily value of vitamin C?
4. How would the proportion change if 1 liter of juice provided 120% of the daily value of vitamin C?
5. How would the table change if you knew 2 liters provided 100% of the daily value?

### Tip:
When solving proportions, always check if the ratios are consistent, as it can help you quickly scale quantities up or down.

If 3/4 of a liter of juice gives you 80% of your daily value of vitamin C, then how much juice will give you 100% of your daily value of vitamin C? Show how to solve this problem with the aid of a math drawing and a percent table. Explain your reasoning.

Learn how to solve a proportion problem involving juice and vitamin C percentages. This problem explains how to find the amount of juice needed for 100% of the daily vitamin C using a proportion formula, percent table, and math drawing. Ideal for Grades 5-7 students.

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