if five oranges cost 60 pesos, how much will a dozen oranges cost? solve it using ratios

To solve this problem using ratios, we can set up a proportion based on the given information.

### Step 1: Set up the ratio
The cost of 5 oranges is 60 pesos. We need to find the cost of 12 oranges. Let's denote the unknown cost as \( x \) pesos.

The ratio of the number of oranges to their cost is the same in both cases:
\[
\frac{5 \text{ oranges}}{60 \text{ pesos}} = \frac{12 \text{ oranges}}{x \text{ pesos}}
\]

### Step 2: Solve the proportion
To find \( x \), cross-multiply the terms:
\[
5 \times x = 12 \times 60
\]
\[
5x = 720
\]

Now, divide both sides by 5 to solve for \( x \):
\[
x = \frac{720}{5} = 144 \text{ pesos}
\]

### Conclusion
A dozen (12) oranges will cost 144 pesos.

Would you like further details or have any questions?

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Here are some related questions:
1. How much would 10 oranges cost?
2. If the price per orange decreases, how does that affect the total cost?
3. What would be the cost for 15 oranges?
4. How many oranges could you buy with 100 pesos?
5. How would the cost change if the price per orange increases by 10%?

**Tip:** Ratios are a useful way to solve many real-world problems, especially when dealing with proportions and comparisons.

Learn how to solve the problem of determining the cost of oranges using ratios. This problem involves setting up a proportion to find the cost of a dozen oranges based on given information. Suitable for students in Grades 6-8.

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