At the rate of 4 items for 30 cents, how much will 24 items cost?

To determine the cost of 24 items at the rate of 4 items for 30 cents, follow these steps:

1. **Determine the cost per item**:
   \[
   \text{Cost per item} = \frac{30 \text{ cents}}{4 \text{ items}} = 7.5 \text{ cents per item}
   \]

2. **Calculate the total cost for 24 items**:
   \[
   \text{Total cost} = 24 \text{ items} \times 7.5 \text{ cents per item} = 180 \text{ cents}
   \]

3. **Convert the total cost to dollars** (if needed):
   \[
   180 \text{ cents} = \frac{180}{100} \text{ dollars} = 1.80 \text{ dollars}
   \]

So, the cost of 24 items is **180 cents** or **$1.80**.

Would you like more details or have any questions?

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Here are some related questions for further exploration:

1. How much would 36 items cost at the same rate?
2. If the rate changes to 5 items for 40 cents, what would be the cost of 24 items?
3. How many items can be bought with $2.50 at the rate of 4 items for 30 cents?
4. What would be the cost of 50 items at this rate?
5. How much would 10 items cost at this rate?

**Tip:** Always check if the problem involves converting units (like cents to dollars) and use proportional reasoning to solve similar problems.

Learn how to calculate the cost of 24 items at a rate of 4 items for 30 cents using proportional reasoning and unit conversion. Follow step-by-step instructions to determine the total cost in cents and dollars. Suitable for students in Grades 5-6.

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