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Let's solve the problem step by step.

### Given Equivalences:
1. \( 7 \) oranges \( = 8 \) apples
2. \( 4 \) tangerines \( = 21 \) bananas
3. \( 3 \) bananas \( = 2 \) peaches
4. \( 2 \) apples \( = 5 \) tangerines

### Problem Statement:
We are asked to find how many peaches are equivalent to the same price of a dozen (12) oranges.

### Step 1: Find the equivalent value of 12 oranges in terms of apples.
From the first equivalence:  
\( 7 \) oranges \( = 8 \) apples  
\( 12 \) oranges \( = \frac{12}{7} \times 8 = \frac{96}{7} \) apples.

### Step 2: Convert apples to tangerines.
From the fourth equivalence:  
\( 2 \) apples \( = 5 \) tangerines  
So, \( \frac{96}{7} \) apples \( = \frac{96}{7} \times \frac{5}{2} = \frac{480}{14} = \frac{240}{7} \) tangerines.

### Step 3: Convert tangerines to bananas.
From the second equivalence:  
\( 4 \) tangerines \( = 21 \) bananas  
So, \( \frac{240}{7} \) tangerines \( = \frac{240}{7} \times \frac{21}{4} = \frac{5040}{28} = 180 \) bananas.

### Step 4: Convert bananas to peaches.
From the third equivalence:  
\( 3 \) bananas \( = 2 \) peaches  
So, \( 180 \) bananas \( = 180 \times \frac{2}{3} = 120 \) peaches.

### Conclusion:
The equivalent number of peaches for the same price as 12 oranges is **120**.

So, the correct answer is **B) 120**.

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Would you like further details on any of the steps? Here are some related questions to explore:

1. How would the calculations change if the number of oranges was different?
2. Can we express the equivalence of one fruit to another directly in terms of a common factor?
3. What if the ratio between bananas and tangerines was different? How would it affect the solution?
4. How can we create a general formula for converting one fruit into another using the given equivalences?
5. Can this problem be visualized or represented using a diagram or flowchart?
6. What is the significance of maintaining proportional relationships in solving such problems?
7. How can dimensional analysis be applied to verify the accuracy of the solution?
8. Can you solve this problem using a different method, such as setting up a system of equations?

**Tip:** Always convert all items to a common unit (like one of the fruits) before trying to find the final equivalence.

Learn how to solve a proportional relationship problem involving fruit equivalences. Find out how many peaches are equivalent to the price of a dozen oranges using given equivalences between oranges, apples, tangerines, bananas, and peaches. Suitable for Grades 7-9.

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