ASVAB · Basic Operations and Word Problems

A worker earns $18 per hour and works 7.5 hours. After $24 is withheld for taxes, what is the take-home pay?

Correct answer

$111.00

  1. A $159.00
  2. B $135.00
  3. C $108.00
  4. D $111.00

Why this is the answer

First compute gross pay: $18 × 7.5 hours = $135. Then subtract the withholding: $135 − $24 = $111 take-home pay. Multi-step word problems require doing the operations in the right order: earnings first (rate × hours), then deductions. To multiply $18 by 7.5, note 18 × 7 = 126 and 18 × 0.5 = 9, so 126 + 9 = $135. After taxes the worker keeps $111. The $135 distractor is the gross pay before the tax is subtracted, so read carefully for the final 'take-home' value.
Source: ASVAB AR, Multi-Step Pay Calculation

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About this topic: Basic Operations and Word Problems

Basic operations word problems are the core of Arithmetic Reasoning: addition, subtraction, multiplication and division dressed up as money, distance, time or quantity problems. The skill tested is setting the problem up correctly, not the arithmetic itself. This is one of 11 Arithmetic Reasoning questions on basic operations and word problems, each with a full explanation on a single study page.

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