Dog food comes in two different sized bags.  The 40 lb bag sells for $24 while the 10 lb bag sells for $7.  Which is cheaper and by how much?  (compare unit rates)

To determine which dog food bag is cheaper, we need to calculate the unit price for each size, which is the cost per pound of dog food.

### 1. Unit price of the 40 lb bag:
\[
\text{Unit price} = \frac{\$24}{40 \, \text{lb}} = 0.60 \, \text{\$/lb}
\]

### 2. Unit price of the 10 lb bag:
\[
\text{Unit price} = \frac{\$7}{10 \, \text{lb}} = 0.70 \, \text{\$/lb}
\]

### Conclusion:
- The 40 lb bag costs **$0.60 per pound**.
- The 10 lb bag costs **$0.70 per pound**.

Thus, the 40 lb bag is **cheaper**. The difference in unit price is:
\[
0.70 \, \text{\$/lb} - 0.60 \, \text{\$/lb} = 0.10 \, \text{\$/lb}
\]

The 40 lb bag is cheaper by **$0.10 per pound**.

Would you like more details or have any questions?

Here are 5 related questions to expand on this:
1. How much would 50 pounds of dog food cost at the cheaper rate?
2. What is the total cost for 20 pounds if you buy two 10 lb bags?
3. How much do you save when buying two 40 lb bags compared to eight 10 lb bags?
4. What is the percentage difference in the price per pound between the two sizes?
5. How much would you save per year if you bought the cheaper bag for 200 pounds of dog food?

**Tip:** Calculating unit prices is a great way to compare costs, especially when products come in different sizes.

Dog food comes in two different sized bags. The 40 lb bag sells for $24 while the 10 lb bag sells for $7. Which is cheaper and by how much? (compare unit rates)

Discover how to compare unit rates of dog food bags. The 40 lb bag costs $24 and the 10 lb bag costs $7. Calculate which bag is cheaper per pound and by how much. This problem is suitable for students in Grades 6-8.

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