Question
upstudy study bank question image url

Amazon delivered three packages for Kaileys birthday. The first package weighed 6 pounds 4 oz. The second package weighed 9 pounds 2 ounces. The third package weighed 7 pounds 8 oz. What is the difference between the heaviest and the lightest packages in pounds and ounces?

Ask by Carter Lowe. in the United States
Mar 09,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The difference between the heaviest and lightest packages is 2 pounds 14 ounces.

Solution

1. Convert the weights to pounds and ounces: - First package: \(6\) pounds \(4\) ounces. - Second package (heaviest): \(9\) pounds \(2\) ounces. - Third package: \(7\) pounds \(8\) ounces. 2. Identify the heaviest and lightest packages: - Heaviest package: \(9\) pounds \(2\) ounces. - Lightest package: \(6\) pounds \(4\) ounces. 3. To find the difference, subtract the weight of the lightest package from the heaviest package: \[ (9 \text{ lb } 2 \text{ oz}) - (6 \text{ lb } 4 \text{ oz}) \] 4. Subtract the pounds and the ounces separately. Start with the ounces: - Subtract the ounces: \(2 \text{ oz} - 4 \text{ oz}\). Since \(2\) is less than \(4\), we need to borrow \(1\) pound (which is \(16\) ounces). 5. After borrowing: - Reduce the pounds: \(9 - 1 = 8\) pounds. - Increase the ounces: \(2 + 16 = 18\) ounces. - Now the subtraction is: \[ (8 \text{ lb } 18 \text{ oz}) - (6 \text{ lb } 4 \text{ oz}) \] 6. Subtract the ounces: \[ 18 \text{ oz} - 4 \text{ oz} = 14 \text{ oz} \] 7. Subtract the pounds: \[ 8 \text{ lb} - 6 \text{ lb} = 2 \text{ lb} \] 8. Combine the results: \[ \text{Difference} = 2 \text{ pounds } 14 \text{ ounces} \]

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

The Deep Dive

To find the difference between the heaviest and lightest packages, first convert the weights to ounces. The first package weighs 6 pounds 4 oz = 6×16 + 4 = 100 oz. The second package weighs 9 pounds 2 oz = 9×16 + 2 = 146 oz. The third package weighs 7 pounds 8 oz = 7×16 + 8 = 120 oz. The heaviest package is the second at 146 oz, and the lightest is the first at 100 oz. Now, subtract: 146 oz - 100 oz = 46 oz. Convert 46 oz back to pounds and ounces: 46 oz = 2 pounds 14 ounces. So, the difference between the heaviest and lightest packages is 2 pounds 14 ounces.

Related Questions

Latest Arithmetic Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy