Lemmara logoLemmaraWorked solution

0580/22 Feb/Mar 2022, Question 18: Constructing Equations

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

A jacket at $x, two shirts each $24 cheaper, and a hat $16 cheaper total $100. Form an equation in x and solve it to get the jacket's price.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 3 marks

  1. 1x + 2(x − 24) + (x − 16) = 100
  2. 24x − 64 = 100
  3. 34x = 164
  4. 4x = 41, so the jacket costs $41

Answer41

Stuck on a step? Read the free lesson: Constructing Equations

Practise more constructing equations questions

Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on constructing equations

Also searched as: 0580/22/F/M/22 · 0580_m22_qp_22 · 0580 m22 22 · question 18.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.