Question
upstudy study bank question image url

QUESTION 2 A shop offered a special on socks and handkerchiefs for Father's Day. For K 50 you could buy 7 pair of socks and 3 boxes of handkerchiefs or for K24 you could buy 3 pair of socks and 2 boxes of handkerchiefs. a. Form a pair of simultaneous equations for this information. ( 2 marks)

Ask by Clarke Lee. in Papua New Guinea
Mar 12,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The pair of simultaneous equations is: 1. \( 7s + 3h = 50 \) 2. \( 3s + 2h = 24 \)

Solution

To form a pair of simultaneous equations based on the information provided, we need to define variables for the unknowns: Let: - \( s \) = price of one pair of socks - \( h \) = price of one box of handkerchiefs From the problem, we have two scenarios: 1. For K 50, you can buy 7 pairs of socks and 3 boxes of handkerchiefs: \[ 7s + 3h = 50 \quad \text{(Equation 1)} \] 2. For K 24, you can buy 3 pairs of socks and 2 boxes of handkerchiefs: \[ 3s + 2h = 24 \quad \text{(Equation 2)} \] Thus, the pair of simultaneous equations is: 1. \( 7s + 3h = 50 \) 2. \( 3s + 2h = 24 \)

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Beyond the Answer

To create a pair of simultaneous equations from the given information, let's define the variables. Let \( s \) represent the price of one pair of socks and \( h \) represent the price of one box of handkerchiefs. From the first offer, we can establish the equation: \[ 7s + 3h = 50 \] From the second offer, we have: \[ 3s + 2h = 24 \] Now we have our two equations to solve for \( s \) and \( h \). When you've got simultaneous equations, you can use methods like substitution or elimination to find the values. It's akin to solving a puzzle where each variable has its own place! And remember, make sure to double-check your calculations, as mistakes can sneak in when you least expect them. Happy solving!

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