Question
upstudy study bank question image url

  1. You buy packs of pencils, twice as many
    packs of erasers, and three times as many
    rolls of tape. Write an expression
    in simplest form for the total
    amount of money you spent.

Ask by Sherman Wagner. in the United States
Mar 27,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The total amount of money spent is .

Solution

Let’s break down the problem step by step:
  1. Identify the quantities:
    • You buy packs of pencils.
    • You buy packs of erasers (twice as many as pencils).
    • You buy rolls of tape (three times as many as pencils).
  2. Define the costs:
    • Let be the price per pack of pencils.
    • Let be the price per pack of erasers.
    • Let be the price per roll of tape.
  3. Calculate the total cost:
    • The total cost for pencils is .
    • The total cost for erasers is .
    • The total cost for tape is .
  4. Combine the costs into a single expression:
  5. Factor out :
Thus, the expression for the total amount of money spent in simplest form is:

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Extra Insights

To find the total cost, we can assign variables to the prices of the items: let the price of one pack of pencils be , the price of one pack of erasers be , and the price of one roll of tape be . Therefore, the total amount you spend can be expressed as:
So the expression for the total spent is .
Knowing how to derive expressions like this can be very useful not just in math, but in real-life budgeting! Whenever you need to keep track of multiple items and their quantities, using variables can help clarify your expenses. Plus, being able to model your spending habits means you can plan more effectively for future purchases.
Mathematics also plays a crucial role in various fields! For instance, in manufacturing, a similar approach might be used to manage inventory and forecast costs by categorizing materials and their respective prices. Understanding how variables interact can streamline production and save businesses money in the long run.

Related 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