Carlos pays ₱161.25 for 10 and 3/4 liters of a certain compound. How much was the price per liter?

To find the price per liter, divide the total amount Carlos paid by the total number of liters.

Given:
- Carlos paid ₱161.25 for 10 and 3/4 liters (which is \( 10 \frac{3}{4} \) liters or 10.75 liters).

**Step 1:** Express the mixed number as a decimal.

\[
10 \frac{3}{4} = 10 + \frac{3}{4} = 10 + 0.75 = 10.75 \text{ liters}
\]

**Step 2:** Use the formula for price per liter:

\[
\text{Price per liter} = \frac{\text{Total cost}}{\text{Total liters}} = \frac{161.25}{10.75}
\]

**Step 3:** Perform the division:

\[
\text{Price per liter} = \frac{161.25}{10.75} \approx 15.00 \text{ pesos per liter}
\]

So, the price per liter is ₱15.00.

Would you like more details or have any further questions? Here are some related questions you could explore:

1. How much would Carlos pay for 15 liters of the compound?
2. What is the total cost for 8 liters of the same compound?
3. How would the price per liter change if Carlos paid ₱200 for the same amount of liters?
4. If the price per liter decreases by 5%, what would be the new price per liter?
5. How many liters could Carlos buy with ₱500 at the same price per liter?

**Tip:** Always double-check the conversion of mixed numbers to decimals when solving problems involving measurements.

Learn how to calculate the price per liter when Carlos pays ₱161.25 for 10 and 3/4 liters (10.75 liters) of a compound. Follow a step-by-step solution to understand the division of the total cost by the total number of liters. Suitable for students in Grades 4-6.

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