To determine the cost of 2½ dozen mangoes, we can break the problem into steps:

Step 1: Calculate the cost of one mango.

Given that 4 mangoes cost P29.00, we can find the cost of one mango: $\text{Cost of one mango} = \frac{29.00}{4} = 7.25 \, \text{pesos}$

Step 2: Determine how many mangoes are in 2½ dozen.

Since 1 dozen is 12 mangoes, 2½ dozen is: $2.5 \times 12 = 30 \, \text{mangoes}$

Step 3: Calculate the cost of 30 mangoes.

Now that we know each mango costs P7.25, the cost of 30 mangoes is: $\text{Cost of 30 mangoes} = 30 \times 7.25 = 217.50 \, \text{pesos}$

Final Answer:

The cost of 2½ dozen mangoes is P217.50.

Would you like more details on any of these steps, or do you have any other questions?

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Here are 5 related questions to expand your understanding:

1. What is the cost of 5 dozen mangoes at the same price?
2. If the price of mangoes increases by 10%, how much will 2½ dozen cost?
3. How many mangoes can you buy with P100 at the given price per mango?
4. What is the total cost of buying 8 mangoes and 4 oranges if 1 orange costs P5?
5. If a mango seller offers a discount of 15% on a dozen mangoes, how much will a dozen mangoes cost?

Tip: When working with proportional costs, always break it down to the cost per unit to simplify larger calculations.