Question
upstudy study bank question image url

8. 4 tins of soup have a masss of 1.8 kg . 3 tins of soup and 2 packets of soup harve a mass of 1420 g . Find the mass of 7 tiins of soup and 5 packets of soup. Give sour answer in killograms.

Ask by Cole Bond. in Bermuda
Mar 17,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The mass of 7 tins of soup and 5 packets of soup is 3.325 kilograms.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Beyond the Answer

To solve this, let's denote the mass of one tin of soup as \( t \) kg and the mass of one packet of soup as \( p \) kg. From the information given, we can set up the following equations: 1. From the first statement, we know that: \[ 4t = 1.8 \text{ kg} \quad \Rightarrow \quad t = \frac{1.8}{4} = 0.45 \text{ kg} \] 2. From the second statement, we convert 1420 g to kg: \[ 1420 \text{ g} = 1.42 \text{ kg} \] And we have: \[ 3t + 2p = 1.42 \] Substituting \( t = 0.45 \): \[ 3(0.45) + 2p = 1.42 \quad \Rightarrow \quad 1.35 + 2p = 1.42 \quad \Rightarrow \quad 2p = 1.42 - 1.35 = 0.07 \quad \Rightarrow \quad p = \frac{0.07}{2} = 0.035 \text{ kg} \] Now, substituting back to find the mass of 7 tins of soup and 5 packets of soup: \[ \text{Mass} = 7t + 5p = 7(0.45) + 5(0.035) = 3.15 + 0.175 = 3.325 \text{ kg} \] Thus, the mass of 7 tins of soup and 5 packets of soup is **3.325 kg**.

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