Problem 452
Question
Cat food One bag of cat food feeds Lara’s cat for 25 days. How many bags of cat food does Lara need for 365 days?
Step-by-Step Solution
Verified Answer
Lara needs 15 bags.
1Step 1: Identify Key Information
Lara has 1 bag of cat food that lasts for 25 days. Lara needs to feed her cat for 365 days.
2Step 2: Set Up the Division
Divide the total number of days (365) by the number of days one bag lasts (25): \[ \frac{365}{25} \ = 14.6 \]
3Step 3: Determine the Whole Number of Bags
Since you can't have a fraction of a bag of cat food, round up to the nearest whole number. Therefore, 14.6 rounds up to 15 bags.
4Step 4: Conclusion
Lara needs 15 bags of cat food to feed her cat for 365 days.
Key Concepts
basic divisionrounding numbersreal-world math applications
basic division
Division is one of the core operations in arithmetic. It allows you to determine how many times a number (the divisor) fits into another number (the dividend). In this problem, we need to find out how many bags of cat food are required to feed Lara's cat for 365 days when one bag lasts for 25 days.
First, recognize your key information: 365 days (the total duration) and 25 days (how long one bag lasts). We set up the division as: \ \[ \frac{365}{25} \]
When you calculate this, you get 14.6 bags. However, in practical terms, you cannot buy a fraction of a bag. This leads us to the next important step of rounding.
First, recognize your key information: 365 days (the total duration) and 25 days (how long one bag lasts). We set up the division as: \ \[ \frac{365}{25} \]
When you calculate this, you get 14.6 bags. However, in practical terms, you cannot buy a fraction of a bag. This leads us to the next important step of rounding.
rounding numbers
Rounding numbers helps simplify them, especially when precise values aren't practical. In our cat food example, after dividing 365 by 25, we get 14.6. We can't purchase 0.6 of a bag, so we need to round up to the nearest whole number.
Here, if the division results in a decimal, always round up. This ensures that you have enough cat food for the entire period. Therefore, 14.6 rounds up to 15. Lara will need 15 bags to ensure her cat is fed for all 365 days.
Rounding is essential in day-to-day scenarios because it makes numbers easier to work with and ensures sufficiency.
Here, if the division results in a decimal, always round up. This ensures that you have enough cat food for the entire period. Therefore, 14.6 rounds up to 15. Lara will need 15 bags to ensure her cat is fed for all 365 days.
Rounding is essential in day-to-day scenarios because it makes numbers easier to work with and ensures sufficiency.
real-world math applications
Math is everywhere around us. By understanding basic math concepts, we can easily solve real-life problems. Take Lara's cat food problem. Knowing how to divide and round numbers can help her plan and budget effectively.
From grocery shopping to planning trips, these simple concepts have huge applications:
From grocery shopping to planning trips, these simple concepts have huge applications:
- Ensuring you have enough supplies for a given period
- Financial budgeting
- Time management
- Cookery measurements
Learning how to apply these concepts to everyday scenarios, like feeding a pet, ensures that you're prepared and avoids last-minute issues. Real-world math makes life smoother and more predictable.
Other exercises in this chapter
Problem 450
Oswaldo divided 300 by 8 and said his answer was 37 with a remainder of 4. How can you check to make sure he is correct?
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Determine which of the following are (a) counting numbers (b) whole numbers. $$0,2,99$$
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Determine which of the following are (a) counting numbers (b) whole numbers. $$0,3,25$$
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