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Riddle Solver Puzzle

Riddle Solver

Riddle Solver presents real-life word problems as short scenarios – purchases, discounts, and totals – that you translate into one or two equations and solve for the unknown. It frames algebra in familiar contexts like shopping or sharing costs.

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Examples of Riddle Solver

Solve Riddle Solver Puzzle

Riddle Solver puzzles present a short real-life scenario that you must translate into one or more algebraic equations.

1. Read Carefully & Identify Variables
  • Underline key quantities and relationships (e.g. “two sketchbooks and three pens”).
  • Assign meaningful variable names (e.g. let s = cost per sketchbook, p = cost per pen).

2. Translate to Equations
  • Convert each sentence into an algebraic equation:
  • “Two sketchbooks and three pens cost £24” ⇒ 2s + 3p = 24.
  • “One sketchbook and one pen cost £9” ⇒ s + p = 9.

3. Solve the System
  • Use substitution or elimination: from s + p = 9, get s = 9 – p and plug into the first equation.
  • Simplify, solve for one variable, then back-substitute to find the second.

4. Interpret & Round
  • If the result is a neat integer, that’s your answer. If not, round to the required precision (e.g. two decimal places).

5. Check in Context
  • Plug both values into the original scenario to confirm totals match exactly.
  • Ensure your solution makes sense (no negative prices or zero costs unless allowed).

Pro Tips
  • Watch for hidden phrases like “each” or “per” to correctly set up unit-price equations.
  • If multiple valid solutions exist, the riddle often implies the positive or physically meaningful one.
  • Label your final answer clearly: “One pen costs £p, one sketchbook costs £s.”

Example Riddle Solver Puzzle

Riddle:
Chloe bought three identical t-shirts and a hat. The hat cost £8. Her total came to £35. Later, her brother bought one t-shirt and one hat, and his bill was £17. How much did one t-shirt cost?

Solution:
t = t-shirt and h = hat
Chloe -> 3t + h = 35
Brother -> t + h = 17
Hat costs £8, so:
– Chloe -> 3t = 27
– Brother -> t = 9
So a hat is £9
Mastering these riddles boosts your ability to parse everyday language into mathematical form and strengthens your comfort with applying equations to practical situations.

Now lets practice ...

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