https://file.aiquickdraw.com/mathbot/file/1726898216114ljs09hx4.jpg

The question is asking how Joseph can make kebabs with no leftovers, given that he needs each kebab to have **3 pieces of meat** and **4 pieces of vegetables**. We need to check which of the given options are multiples of this 3:4 ratio, meaning they must simplify to the same ratio.

The ratio of meat to vegetables in each kebab is \( \frac{3}{4} \). So, let's evaluate each option:

### A. 18 pieces of meat and 30 pieces of vegetables
\[
\frac{18}{30} = \frac{3}{5}
\]
This is **not** equal to \( \frac{3}{4} \), so this option is incorrect.

### B. 20 pieces of meat and 32 pieces of vegetables
\[
\frac{20}{32} = \frac{5}{8}
\]
This is **not** equal to \( \frac{3}{4} \), so this option is incorrect.

### C. 30 pieces of meat and 40 pieces of vegetables
\[
\frac{30}{40} = \frac{3}{4}
\]
This **is** the correct ratio.

### D. 45 pieces of meat and 60 pieces of vegetables
\[
\frac{45}{60} = \frac{3}{4}
\]
This **is** the correct ratio.

### E. 72 pieces of meat and 96 pieces of vegetables
\[
\frac{72}{96} = \frac{3}{4}
\]
This **is** the correct ratio.

### Conclusion:
The correct answers are **C (30 pieces of meat and 40 pieces of vegetables), D (45 pieces of meat and 60 pieces of vegetables), and E (72 pieces of meat and 96 pieces of vegetables)**.

Would you like further clarification or a deeper explanation? Here are some related questions to explore:

1. What is the general method for simplifying ratios?
2. How can you determine if two ratios are equivalent?
3. What is the relationship between multiples and ratios?
4. How do ratios apply in real-world situations like cooking or construction?
5. What is the importance of unit ratios in proportional reasoning?

**Tip:** When simplifying ratios, always find the greatest common divisor (GCD) to ensure the ratio is reduced to its simplest form.

Joseph is making kebabs. He wants each kebab to have 3 pieces of meat and 4 pieces of vegetables. Which of the following could Joseph use to make kebabs without any leftovers? Options: A) 18 pieces of meat and 30 pieces of vegetables, B) 20 pieces of meat and 32 pieces of vegetables, C) 30 pieces of meat and 40 pieces of vegetables, D) 45 pieces of meat and 60 pieces of vegetables, E) 72 pieces of meat and 96 pieces of vegetables.

Joseph needs each kebab to have 3 pieces of meat and 4 pieces of vegetables. Learn how to solve the ratio problem to find the correct number of pieces with no leftovers. Suitable for Grade 6-7 students learning ratios and proportions.

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