https://file.aiquickdraw.com/mathbot/file/1727919611336szntt425.jpg

Let's break down the problem:

You have a bag containing **42 cups of dog food**.

Your dog consumes **2 1/3 cups** of food each day. To convert this to an improper fraction:
\[
2 \frac{1}{3} = \frac{7}{3} \text{ cups per day}
\]

Now, the question asks if this amount will last **3 weeks**. 

First, calculate the total number of days in 3 weeks:
\[
3 \text{ weeks} = 3 \times 7 = 21 \text{ days}
\]

Now, calculate how much food your dog will eat in 21 days:
\[
\frac{7}{3} \times 21 = \frac{7 \times 21}{3} = \frac{147}{3} = 49 \text{ cups of food}
\]

So, your dog will need **49 cups** of food over 3 weeks. Since you only have **42 cups**, this will not be enough. The dog would need an additional:
\[
49 - 42 = 7 \text{ cups of food}
\]

**Conclusion**: No, the food will not last for 3 weeks. The dog will need 7 more cups of food.

---

Would you like more details or have any other questions? Here are some related questions to think about:

1. How much food would the dog need for 4 weeks?
2. If the dog ate only 2 cups per day, how long would the food last?
3. How many days will 42 cups last if the dog eats 2 1/3 cups daily?
4. What if the bag contained 50 cups of food—how long would it last?
5. How much food would the dog eat in 10 days?

**Tip**: When dealing with fractions, converting mixed numbers to improper fractions makes multiplication easier!

A bag contains 42 cups of dog food. Your dog eats 2 1/3 cups of dog food each day. Is there enough food to last 3 weeks? Explain.

Solve a real-life math problem: Will 42 cups of dog food last for 3 weeks if the dog eats 2 1/3 cups daily? Learn about fractions, multiplication, and subtraction in this detailed explanation, suitable for Grades 5-7.

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