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Business Word Problems: Fast Translation to Math

Turn interview word problems into simple equations quickly and accurately.

Last reviewed: 2026-07-10

Quick Answer

Translate words to variables first, choose the equation, then compute. Do not calculate before the structure is clear.

Why It Matters in Interviews

  • Interview math questions are often language-heavy.
  • Translation speed often matters more than raw calculation speed.
  • Clear setup reduces arithmetic mistakes later in the problem.

Practice Drill Plan

  1. Convert 10 prompts into equations without solving first.
  2. Solve only after equation checks are complete.
  3. Time both translation and calculation separately.

Common Mistakes

  • Solving immediately and missing a hidden constraint.
  • Confusing rates with absolute values.
  • Forgetting to align time windows across variables.

Worked Example: Translate a utilization prompt before calculating

A 24-person support team resolves 18 tickets per person each workday. If 75% of the team is scheduled tomorrow, how many tickets should the team plan to resolve?

  1. Scheduled agents = 24 × 75% = 24 × 3/4 = 18.
  2. Tickets per scheduled day = 18 agents × 18 tickets per agent.
  3. Compute 18 × 18 as (20 × 18) − (2 × 18) = 360 − 36 = 324.

Answer: The team should plan for 324 tickets.

Turn the wording into a rate × people equation first; only then choose the fastest arithmetic shortcut.

Try These Practice Prompts

  1. A store sells 240 units per week at a 35% gross margin. Write the equation for weekly gross profit before solving it.
  2. A delivery route is 80% complete after 36 stops. How many stops are planned in total? State the equation first.
  3. A company cuts a $1.2M annual cost by 15%. Express the monthly savings with units.

Practice Now

Use these drills in short sessions and track your score/accuracy trend each week.

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