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The given ratio of pens to pencils is **17:2**. To find an equivalent ratio, we need to multiply both terms of the ratio by the same number.

Looking at the options:

- **4:34** is not an equivalent ratio because neither term has a factor related to 17 or 2.
- **51:4** is a possible equivalent ratio. It’s derived by multiplying both terms of the original ratio by 3 (i.e., \( 17 \times 3 = 51 \) and \( 2 \times 2 = 4 \)).
- **34:4** is another equivalent ratio obtained by multiplying both terms by 2 (i.e., \( 17 \times 2 = 34 \) and \( 2 \times 2 = 4 \)).
- **34:2** is incorrect because the first term is doubled but the second term is unchanged.

So, the correct answer is **34:4**.

Would you like a more detailed explanation, or do you have any questions?

Here are some related questions to explore further:
1. What is a ratio, and how do you find equivalent ratios?
2. How do you simplify ratios?
3. What are the properties of equivalent ratios?
4. How can you use cross-multiplication to verify ratios?
5. Can ratios be expressed as fractions?

**Tip:** When finding equivalent ratios, always multiply or divide both terms by the same non-zero number.

The ratio of pens to pencils is 17:2. Find the equivalent ratio.

Learn how to find the equivalent ratio of 17:2 by multiplying both terms of the ratio by the same number. This problem covers key concepts of ratios and proportions, suitable for students in Grades 6-8.

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