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Equation Detective Puzzle

Equation Detective – Level 1 – Medium

Other Puzzles

Four friends – Mia, Lucas, Aria, and Theo – each bought a different lunch item (wrap, juice, salad, or pasta) on a different day (Monday, Tuesday, Thursday, or Friday). Each item cost a different amount.

Read more about how to solve these puzzles here

Clues:

  1. The wrap cost £1 more than the salad.
  2. The juice is twice the cost of the wrap.
  3. Aria didn’t buy her item on Tuesday or Thursday.
  4. Theo bought the salad.
  5. Lucas paid £6 on Tuesday.
  6. The total cost of Aria and Mia’s items was £15.
  7. The wrap cost £5.
  8. Mia purchased the juice, the day before Lucas.

Your Workings For Equation Detective

Enter your working out in this box, including your suggested solution.
Your Answers:
Name Food Day Price
Mia
Lucas
Aria
Theo

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Reveal Answer
Additional instructions for Equation Detective (Level 1, Medium)

Equation Detective – Medium

Combine clues deliberately. Medium difficulty is where two weak clues become one strong deduction.

How to combine:

  • If clue A says “Mia had the juice” and clue B says “the juice was the day before Lucas”, you’ve created a linked chain: Mia → juice → (day before) → Lucas.
  • If clue A defines a price relationship and clue B gives one price, compute the rest immediately and lock them in.
  • Use “not” clues to shrink options until a single option remains.

Tip: write small “chains” like Mia → Monday or Theo → salad → £3 directly beside the grid as you discover them.

Full help: Equation Detective

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